WB JEE 2011 | Indefinite Integrals Question 11 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$$\int {{{{x^3}dx} \over {1 + {x^8}}} = } $$

$$4{\tan ^{ - 1}}{x^3} + c$$

$${1 \over 4}{\tan ^{ - 1}}{x^4} + c$$

$$x + 4{\tan ^{ - 1}}{x^4} + c$$

$${x^2} + {1 \over 4}{\tan ^{ - 1}}{x^4} + c$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$$\int {{{\cos 2x} \over {\cos x}}dx = } $$

$$2\sin x + \log |\sec x + \tan x| + C$$

$$2\sin x - \log |\sec x - \tan x| + C$$

$$2\sin x - \log |\sec x + \tan x| + C$$

$$2\sin x + \log |\sec x - \tan x| + C$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$$\int {{{{{\sin }^8}x - {{\cos }^8}x} \over {1 - 2{{\sin }^2}x{{\cos }^2}x}}dx} $$

$$ - {1 \over 2}\sin 2x + C$$

$${1 \over 2}\sin 2x + C$$

$${1 \over 2}\sin x + C$$

$$ - {1 \over 2}\sin x + C$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

$$\int {{2^x}(f'(x) + f(x)\log 2)dx} $$ is

$${2^x}f'(x) + C$$

$${2^x}f(x) + C$$

$${2^x}(\log 2)f(x) + C$$

$$(\log 2)f(x) + C$$

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