Question:

Let f : [0, π] → R\R be the function defined by
f(x)={(xπ)esinxif 0xπ2,xesinx+4πif π2<xπ.f(x)=\begin{cases} (x-\pi)e^{\sin x} & \text{if } 0 \le x \le \frac{\pi}{2},\\ xe^{\sin x}+\frac{4}{\pi} & \text{if }\frac{\pi}{2}\lt x \le \pi. \end{cases}
Then the value of
0πf(x)dx\int\limits_0^{\pi}f(x)dx
is equal to _________. (Rounded off to two decimal places)

Updated On: Oct 1, 2024
Hide Solution
collegedunia
Verified By Collegedunia

Correct Answer: 2

Solution and Explanation

The correct answer is : 2.
Was this answer helpful?
0
0

Questions Asked in IIT JAM MA exam

View More Questions