Class 12

7-1.Indefinite Integral question bank (Maths)

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Q1.

$\int \frac{dx}{\tan x + \cot x} =$

(A)

$\frac{\cos 2x}{4} + c$

(B)

$\frac{\sin 2x}{4} + c$

(C)

$-\frac{\sin 2x}{4} + c$

(D)

$-\frac{\cos 2x}{4} + c$

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Q2.

$\int \frac{dx}{\sqrt{x} + \sqrt{x - 2}} =$

(A)

$\frac{1}{3}[x^{3/2} - (x - 2)^{3/2}] + c$

(B)

$\frac{2}{3}[x^{3/2} - (x - 2)^{3/2}] + c$

(C)

$\frac{1}{3}[(x - 2)^{3/2} - x^{3/2}] + c$

(D)

$\frac{2}{3}[(x - 2)^{3/2} - x^{3/2}] + c$

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