Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 10

HARD

JEE Advanced

IMPORTANT

Earn 100

If $\int \frac{1}{a^{2} \sin^{2} x + b^{2} \cos^{2} x} d x = \frac{1}{12} \tan^{- 1} (3 \tan x) + C,$ then the maximum value of $a \sin x + b \cos x$ is

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Important Questions on Indefinite Integrals

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 11

\int \frac{d x}{x^{4} + 5 x^{2} + 1}

will be

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 12

\int \frac{\sin x + \cos x}{9 + 16 \sin 2 x} d x

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 13

\int x^{- 11} {(1 + x^{4})}^{\frac{- 1}{2}} d x

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 14

Evaluate

\int \frac{5 \sin x + 6}{\sin x + 2 \cos x + 3} d x

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.3>Q 1

If

\int x \sin x d x = - x \cos x + A,

then

A

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.3>Q 2

\int \sin (\log x) d x

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.3>Q 3

\int x^{3} \log x d x

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.3>Q 4

\int x \sin 2 x \cdot \cos 3 x d x

is