Page 2 - E-Book Kalkulus Integral

Daftar Isi

Halaman Sampul

......................................................................................................................................... i
Daftar Isi ..................................................................................................................... iii
Kata Pengantar ......................................................................................................... ivv

BAB I ............................................................................................................................. 1

Integral Tak Tentu........................................................................................................ 1
A. Pendahuluan Anti Turunan .............................................................................. 1
B. Anti Turunan ..................................................................................................... 3

Definisi ................................................................................................................... 4
Proyek 1.1 ............................................................................................................... 5

C. Integral tak tentu .............................................................................................. 6
1. Integral Tak tentu ............................................................................................. 6

2. Aturan dasar Integral Tak tentu ....................................................................... 6
Proyek 1.2 ............................................................................................................... 9

D. Teknik Pengintegralan .................................................................................... 10
1. Teknik Integrasi dengan Menggunakan Substitusi. ....................................... 10

2. Teknik Integral Parsial .................................................................................. 11
3. Teknik Integrasi dari Fungsi Trigonometri .................................................... 12

4. Teknik Integrasi Fungsi Rasional. ................................................................. 13
E. Pengantar persamaan diferensial .................................................................. 17

Proyek 1.3 ............................................................................................................. 18
LATIHAN SOAL .................................................................................................... 20

BAB II ......................................................................................................................... 21
Integral Tentu ............................................................................................................. 21

A. Notasi Jumlah dan Sigma ............................................................................... 21
1. Definisi Notasi Sigma ................................................................................... 21

2. Sifat – Sifat Notasi Sigma ............................................................................. 22
B. Menghitung Luas Suatu Daerah dengan Jumlahan Rieman ...................... 24

Proyek 2.1 ............................................................................................................. 24
C. Integral Tentu .................................................................................................. 30

1. Definisi Integral Tentu ................................................................................... 30

Kalkulus Integral berbasis Project Based Learning ii