Integral Trigonometri: Bentuk Dasar

RUMUS DASAR

$\int \sin x d x$	$- \cos x + c$
$\int \cos x d x$	$\sin x + c$
$\int \tan x d x$	$\ln \| \sec x \| + c$
$\int \cot x d x$	$\ln \| \sin x \| + c$
$\int \sec x d x$	$\ln \| \sec x + \tan x \| + c$
$\int \csc x d x$	$\ln \| \csc x - \cot x \| + c$
$\int \sec^{2} x d x$	$\tan x + c$
$\int \csc^{2} x d x$	$\cot x + c$
$\int \sec x \tan x d x$	$\sec x + c$
$\int \csc x \cot x d x$	$- \csc x + c$

Contoh 01

$\begin{aligned} \int \sin (3 x + 2) d x \\ \int \sin (3 x + 2) \frac{d (3 x + 2)}{3} \\ \frac{1}{3} \int \sin (3 x + 2) d (3 x + 2) \\ - \frac{1}{3} \cos (3 x + 2) + c \end{aligned}$

Contoh 02

$\begin{aligned} \int \cos (1 - 2 x) d x \\ \int \cos (1 - 2 x) \frac{d (1 - 2 x)}{- 2} \\ - \frac{1}{2} \int \cos (1 - 2 x) d (1 - 2 x) \\ - \frac{1}{2} \sin (1 - 2 x) + c \end{aligned}$

Contoh 03

$\begin{aligned} \int \tan (2 x + 1) d x \\ \int \tan (2 x + 1) \frac{d (2 x + 1)}{2} \\ \frac{1}{2} \int \tan (2 x + 1) d (2 x + 1) \\ \frac{1}{2} \ln | \sec (2 x + 1) | + c \end{aligned}$

SOAL LATIHAN

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