Daftar Isi

iii

Daftar Isi

TINJAUAN MATA KULIAH ...........................................................

xi

MODUL 1: INTEGRAL TAK TENTU Kegiatan Belajar 1: Anti Turunan (Integral Tak Tentu) .................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

1.1 1.2 1.8 1.9 1.10

Kegiatan Belajar 2: Penggunaan Integral Tak Tentu ........................................................ Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

1.13 1.19 1.20 1.20

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

1.22 1.23

MODUL 2: INTEGRAL TENTU Kegiatan Belajar 1: Notasi Sigma ..................................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

2.1

Kegiatan Belajar 2: Luas Daerah dan Integral Tentu ........................................................ Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

2.2 2.6 2.6 2.7

2.10 2.24 2.25 2.27

iv

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

2.30 2.31

MODUL 3: FUNGSI TRANSENDEN I Kegiatan Belajar 1: Logaritma Natural .............................................................................. Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

3.1 3.3 3.13 3.17 3.18

Kegiatan Belajar 2: Fungsi Eksponen ................................................................................ Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

3.21 3.34 3.35 3.37

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

3.41 3.42

MODUL 4: FUNGSI TRANSENDEN II Kegiatan Belajar 1: Fungsi Trigonometri dan Inversnya .................................................. Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

4.1 4.2 4.28 4.30 4.32

Kegiatan Belajar 2: Fungsi Hyperbolik dan Inversnya ...................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

4.36 4.44 4.45 4.48

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

4.51 4.52

v

MODUL 5: TEKNIK PENGINTEGRALAN Kegiatan Belajar 1: Integral Parsial dan Substitusi Trigonometri ..................................... Latihan …………………………………………............................... Rangkuman …………………………………..................................... Tes Formatif 1 ……………………………..……..............................

5.1 5.2 5.14 5.16 5.18

Kegiatan Belajar 2: Integral Fungsi Rasional dan Integral Fungsi Rasional Trigonometri Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

5.21 5.32 5.33 5.35

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

5.39 5.40

MODUL 6: PENGGUNAAN INTEGRAL I Kegiatan Belajar 1: Luas Daerah ....................................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

6.1 6.2 6.12 6.14 6.15

Kegiatan Belajar 2: Volume Benda .................................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

6.18 6.33 6.35 6.37

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

6.40 6.41

vi

MODUL 7: PENGGUNAAN INTEGRAL II Kegiatan Belajar 1: Momen, Pusat Massa dan Kerja (Usaha) .......................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

7.1 7.2 7.14 7.15 7.17

Kegiatan Belajar 2: Berbagai Masalah yang Lain ............................................................. Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

7.20 7.27 7.28 7.28

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

7.31 7.32

MODUL 8: BENTUK TAK TENTU DAN INTEGRAL TAK WAJAR Kegiatan Belajar 1: Bentuk Tak Tentu ............................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

8.2 8.14 8.16 8.18

Kegiatan Belajar 2: Integral Tak Wajar ............................................................................ Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

8.21 8.31 8.32 8.35

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

8.38 8.39

8.1

vii

MODUL 9: BARISAN DAN DERET TAK TERHINGGA Kegiatan Belajar 1: Barisan Tak Terhingga ................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

9.1 9.2 9.11 9.12 9.13

Kegiatan Belajar 2: Deret Tak Terhingga ......................................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

9.16 9.35 9.36 9.41

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

9.44 9.45

MODUL 10: DERET PANGKAT Kegiatan Belajar 1: Kekonvergenan Deret Pangkat ......................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

10.1 10.2 10.9 10.11 10.13

Kegiatan Belajar 2: Operasi pada Deret Pangkat .............................................................. Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

10.15 10.20 10.22 10.22

Kegiatan Belajar 3: Deret Taylor dan MacLaurin .............................................................. Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 3 ……………………………..……..............................

10.25 10.34 10.35 10.37

viii

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

10.40 10.41

MODUL 11: PERSAMAAN DIFERENSIAL ORDE SATU Kegiatan Belajar 1: Persamaan Diferensial Biasa Orde Satu ............................................ Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

11.1 11.3 11.17 11.20 11.20

Kegiatan Belajar 2: Persamaan Diferensial Linear Orde Satu .......................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

11.23 11.32 11.33 11.33

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

11.36 11.37

MODUL 12: PERSAMAAN DIFERENSIAL LINEAR ORDE DUA Kegiatan Belajar 1: Persamaan Diferensial Homogen ...................................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 1 ……………………………..……..............................

12.3 12.18 12.20 12.21

Kegiatan Belajar 2: Persamaan Diferensial Tak Homogen ............................................... Latihan …………………………………………............................... Rangkuman ………………………………….................................... Tes Formatif 2 ……………………………..……..............................

12.24 12.37 12.39 12.41

12.1

ix

KUNCI JAWABAN TES FORMATIF ............................................. DAFTAR PUSTAKA ........................................................................

12.44 12.45