Test Index

UPSC NDA I 2023 Mathematics Solved Paper

Show Para Hide Para

Consider the following for the next three (03) items that follow :

Let

I_1 = \int\limits_{0}^{\pi} \; \frac{x}{1+\cos^2 x} dx

and

I_2 = \int\limits_{0}^{\pi} \; \frac{1}{1+\sin^2 x} dx

[NDA I 2023]

© examsnet.com

Question : 82 of 120

Marks: +1, -0

What is the value of

8 I_1^2 ?

$\pi$
$\pi^2$
$\pi^3$
$\pi^4$

Go to Question:

Prev Question

Next Question