Definite Integration_JEE-MAIN 2021_(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

JEE-MAIN 2021

17-03-2021 S2

Question

Let $f: R \rightarrow R$ be defined as $f(x)=e^{-x} \sin x$. If $F:[0,1] \rightarrow R$ is a differentiable function such that $F(x)=\int_0^x f(t) d t$, then the value of $\int_0^1\left(F^{\prime}(x)+f(x)\right) e^x d t$ lies in the interval

Select the correct option:

$\left[\frac{327}{360}, \frac{329}{360}\right]$

$\left[\frac{330}{360}, \frac{331}{360}\right]$

$\left[\frac{331}{360}, \frac{334}{360}\right]$

$\left[\frac{335}{360}, \frac{336}{360}\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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