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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Q)

Integrate : $ \int \large\frac{a \sin x +b}{\cos^2 x }$$ dx$

\[\begin {array} {1 1} (a)\;a \tan x + b \sec x +c \\ (b)\;a \sec ^2 x + b tan ^2 x +c \\ (c)\;a \sec x +b \tan x +c \\ (d)\;(a+b) \tan ^2 x +c \end {array}\]

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A)
$\int (a \sec x \tan x+ b \sec ^2 x)dx$
=>$\int a \sec x \tan x dx +\int b \sec ^2 xdx$
=> $a \sec x +b \tan x +c$
Hence c is the correct answer.
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