Question

Arrange the following in ascending order based on their values:
A. \(\displaystyle \int_0^{\frac{\pi}{2}}\frac{1}{1+\sin x}\,dx\),
B. \(\displaystyle \int_1^2 x^2\,dx\),
C. \(\displaystyle \int_0^{\frac{\pi}{2}}\sin x\,dx\),
D. \(\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sin^3x\,dx\).

• A. C, D, B, A
• B. D, C, A, B
• C. D, C, B, A
• D. C, D, A, B

Hint:

For symmetric limits \([-a,a]\), the integral of an odd function is always \(0\).

Answer 1

The Correct Option is B