If ∫ x 1 + x - x 2 d x = - 1 3 1 + x - x 2 3 2 + A + C , then A is equal to

1 2 1 2 x - 1 2 1 + x - x 2 + 5 8 sin - 1 2 x - 1 5

1 2 x - 1 2 1 + x - x 2 + sin - 1 2 x - 1 5

1 2 x - 1 2 1 + x - x 2 + 1 8 sin - 1 2 x - 1 5 / 2

1 4 x - 1 2 1 + x - x 2 + 1 4 sin - 1 2 x - 1 5 / 2

∫ x - 11 1 + x 4 - 1 2 d x is equal to

- 1 2 1 5 x 4 + 1 x 4 5 2 - 2 3 x 4 + 1 x 4 3 2 + x 4 + 1 x 4 1 2 + C

- 1 10 x 4 + 1 x 4 5 2 + 1 3 x 4 + 1 x 4 3 2 + C

- 1 8 x 4 + 1 x 4 5 2 + 1 3 x 4 + 1 x 4 3 2 + x 4 + 1 x 4 1 2 + C

- 1 8 x 4 + 1 x 4 5 2 + 1 4 x 4 + 1 x 4 3 2 + x 4 + 1 x 4 1 2 + C

Evaluate ∫ 5 sin x + 6 sin x + 2 cos x + 3 d x

x - 2 log sin x + 2 cos x + 3 + 3 tan - 1 1 + tan x 2 2 + C

x - 2 log sin x + 2 cos x + 3 + 3 cot - 1 1 + tan x 2 2 + C

x - 2 log sin x + 2 cos x + 3 + 1 2 tan - 1 1 + tan x 2 2 + C

x - 2 log sin x + 2 cos x + 3 + 1 4 tan - 1 1 + tan x 2 2 + C

E M B I B E

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

Amit M Agarwal Solutions for Chapter: Indefinite Integrals, Exercise 2: Work Book exercise 9.2

Author:Amit M Agarwal

Amit M Agarwal Mathematics Solutions for Exercise - Amit M Agarwal Solutions for Chapter: Indefinite Integrals, Exercise 2: Work Book exercise 9.2

Attempt the free practice questions on Chapter 9: Indefinite Integrals, Exercise 2: Work Book exercise 9.2 with hints and solutions to strengthen your understanding. Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2 solutions are prepared by Experienced Embibe Experts.

Questions from Amit M Agarwal Solutions for Chapter: Indefinite Integrals, Exercise 2: Work Book exercise 9.2 with Hints & Solutions

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 9 - Indefinite Integrals>Work Book exercise 9.2>Q 7

The value of $\int \frac{d x}{3 - 2 x - x^{2}}$ 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 8

If $\int x \sqrt{1 + x - x^{2}} d x = - \frac{1}{3} {(1 + x - x^{2})}^{\frac{3}{2}} + A + C,$ then $A$ is equal to

MEDIUM

JEE Advanced

IMPORTANT

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

$\int \frac{1}{7 + 5 \cos x} d x$ 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 10

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