Integral Trigonometri Bentuk Dasar s

LATIHAN SOAL

SOAL 01

\(\int \sin (4x - 5)\:dx\)

 


SOAL 02

\(\int x \cos \left(x^2 + 3 \right) \:dx\)

 


SOAL 03

\(\int (x + 1) \sec^2 \left(x^2 + 2x + 6 \right) \:dx\)

 


SOAL 04

\(\int \sec (5x + 3) \tan(5x + 3)\:dx\)

 


SOAL 05

\(\int \tan^2 x\:dx\)

 


SOAL 06

\( \int \sin^3x \cos x\:dx\)

 


SOAL 07

\( \int \tan x \:dx\)

 


SOAL 08

\(\int x \cot \left(x^2 + 1 \right) \:dx\)

 


SOAL 09

\(\displaystyle \int \dfrac{\cos (2x+1)}{1+ \sin (2x+1)}\:dx\)

 


SOAL 10

\(\displaystyle \int \dfrac{\sin x + \cos x}{\sin x - \cos x}\:dx\)

 


SOAL 11

\(\displaystyle \int \dfrac{\sin x}{\cos^2x}\:dx\)

 


SOAL 12

 

 


SOAL 13

\(\displaystyle \int \sec^2x \: \sqrt{5+\tan x}\:dx\)

 


SOAL 14

\(\displaystyle \int \dfrac{\sec 2x\tan 2x}{1+\sec 2x}\:dx\)

 


SOAL 15

Tentukan nilai dari \(a\) dan \(b\) dari:

\(\displaystyle \int \dfrac{2 \sin x + 23 \cos x}{3 \sin x + 2 \cos x}\:dx = ax + b \ln |3 \sin x + 2 \cos x| + c\)

 


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