MHT CET PYQs for Integration by Parts with Solutions: Practice MHT CET Previous Year Questions

Educational Content Expert | Updated 3+ months ago

Integration by Parts is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Integration by Parts with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Integration by Parts questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Integration by Parts with Solutions

1.
The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:
- \( 3^{5/6} - 3^{2/3} \)
- \( 3^{7/6} - 3^{5/6} \)
- \( 3^{5/3} - 3^{1/3} \)
- \( 3^{4/3} - 3^{1/3} \)
View Solution
2.
The value of the integral \( \int_0^1 \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \, dx \) is:
- \( \frac{\pi}{2} + 1 \)
- \( \frac{\pi}{2} - 1 \)
- \( 1 \)
- \( -1 \)
View Solution
3.
The value of \( \sqrt{3} \csc 20^\circ - \sec 20^\circ \) is:
- 4
- 2
- 3
- 1
View Solution
4.
The value of the integral \( \int_0^2 |2x - 3| \, dx \) is:
- \( \frac{3}{10} \)
- \( \frac{5}{2} \)
- \( \frac{10}{3} \)
- \( \frac{2}{5} \)
View Solution
5.
The integral \( \int \frac{\csc x}{\cos^2\left(1 + \log \tan \frac{x}{2}\right)} \, dx \) is equal to:
- \( \sin^2(1 + \log \tan \frac{x}{2}) + C \)
- \( \tan(1 + \log \tan \frac{x}{2}) + C \)
- \( -\tan(1 + \log \tan \frac{x}{2}) + C \)
- \( \sec^2(1 + \log \tan \frac{x}{2}) + C \)
View Solution
6.
Evaluate the integral: \[ \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \] (where \(C\) is a constant of integration)
- \( -\dfrac{2}{3}(\cot^{-1}x^3) + C \)
- \( \dfrac{2}{3}(\cot^{-1}x^3) + C \)
- \( -\dfrac{2}{3}(\cot^{-1}x^3)^2 + C \)
- \( \dfrac{2}{3}(\cot^{-1}x^3)^2 + C \)
View Solution

View more MHT CET Questions

SHARE ON FACEBOOK SHARE ON TWITTER

Comments

No Comments To Show

SUBSCRIBE TO OUR NEWS LETTER

COLLEGE NOTIFICATIONS

EXAM NOTIFICATIONS

NEWS UPDATES

Download the Collegedunia app on

MHT CET PYQs for Integration by Parts with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Integration by Parts with Solutions

1.
The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

2.
The value of the integral \( \int_0^1 \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \, dx \) is:

3.
The value of \( \sqrt{3} \csc 20^\circ - \sec 20^\circ \) is:

4.
The value of the integral \( \int_0^2 |2x - 3| \, dx \) is:

5.
The integral \( \int \frac{\csc x}{\cos^2\left(1 + \log \tan \frac{x}{2}\right)} \, dx \) is equal to:

6.
Evaluate the integral: \[ \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \] (where \(C\) is a constant of integration)

Comments

SUBSCRIBE TO OUR NEWS LETTER

MHT CET PYQs for Integration by Parts with Solutions

1.The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

2.The value of the integral \( \int_0^1 \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \, dx \) is:

3.The value of \( \sqrt{3} \csc 20^\circ - \sec 20^\circ \) is:

4.The value of the integral \( \int_0^2 |2x - 3| \, dx \) is:

5.The integral \( \int \frac{\csc x}{\cos^2\left(1 + \log \tan \frac{x}{2}\right)} \, dx \) is equal to:

6.Evaluate the integral: \[ \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \] (where \(C\) is a constant of integration)

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The integral of \( \sec^{2/3}x \csc^{4/3}x \, dx \) from \( \pi/6 \) to \( \pi/3 \) is equal to:

2.
The value of the integral \( \int_0^1 \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \, dx \) is:

3.
The value of \( \sqrt{3} \csc 20^\circ - \sec 20^\circ \) is:

4.
The value of the integral \( \int_0^2 |2x - 3| \, dx \) is:

5.
The integral \( \int \frac{\csc x}{\cos^2\left(1 + \log \tan \frac{x}{2}\right)} \, dx \) is equal to:

6.
Evaluate the integral: \[ \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \] (where \(C\) is a constant of integration)