∫a+bsinxcos2xdx= - Infinity Learn

A
$a \tan x + b \sec x + c$
B
$a \tan x - b \sec x + c$
C
$a \tan x + b \cot x + c$
D
$a \sin x + b \sec x + c$

Solution:

$\int \frac{a + b \sin x}{\cos^{2} x} d x = a \int \frac{1}{\cos^{2} x} d x + b \int \frac{\sin x}{\cos^{2} x} d x = a \int \sec^{2} x d x + b \int \sec x \tan x d x$

$= a \tan x + b \sec x + c$

$\int \frac{a + b \sin x}{\cos^{2} x} d x =$

Solution:

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