CGP Edu

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If I m, n = x sin nx dx, then 7I 4, 3 – 4I 3, 2 =

Constant

–cos 2 x + c

– cos 4 x cos3x + c

cos 7x – cos4x + c

Text Solution

Verified by Experts

The correct answer is:

Integrating by parts we have

I 4, 3 = – –

But sinx. Cos 3x = – sin2x + sin 3x. cos x.

So I 4, 3 = – +

– + C

= – + I 3, 2 – I 4, 3 + C

Therefore, I 4, 3 – I 3, 2 = – + C Or 7I 4, 3 – 4I 3, 2 = – cos 3x. cos 4 x + C

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.