MHT-CET

7-1.Indefinite Integral question bank (Mathematics)

Practice 384 free MHT-CET Mathematics - 7-1.Indefinite Integral questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

If $f(x) = \cos x$, then the value of $\int \frac{e^{f(x)}(x \sin^3 x + f(x))}{1 - (f(x))^2} dx =$

(A)

$e^{\cos x}(\text{cosec } x - x) + c$

(B)

$e^{\cos x}(\text{cosec } x + x) + c$

(C)

$e^{\cos x}(\cos x - x) + c$

(D)

$e^{\cos x}(\cot^2 x + x) + c$

Show answer & solution

Verified Answer & Solution Locked

Q2.

The value of $I = \int \frac{dx}{x^2(x^4+1)^{3/4}}$ is

(A)

$-\left(x^4+1\right)^{1/4} + c$

(B)

$\left(x^4+1\right)^{1/4} + c$

(C)

$\left(1+\frac{1}{x^4}\right)^{1/4} + c$

(D)

$-\left(1+\frac{1}{x^4}\right)^{1/4} + c$

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 69 questions

Unlock every 7-1.Indefinite Integral question, generate papers, and practice at your own pace.