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7-1.Indefinite Integral question bank (Mathematics)

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Q1.

If $\int \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} = (\tan x)^A + C(\tan x)^B + K$,where $K$ is a constant of integration,then the value of $5(A+B+C)$ is equal to

(A)

$25$

(B)

$14$

(C)

$16$

(D)

$20$

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Q2.

$\int \frac{x+\sin x}{1+\cos x} d x=$

(A)

$x \tan \left(\frac{x}{2}\right)+c$

(B)

$\log (x+\sin x)+c$

(C)

$\tan \left(\frac{x}{2}\right)+c$

(D)

$\log (1+\cos x)+c$

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