Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Integral Calculus Definite Integrals
Let f : R → R be defined as f(x) = e-x sinx. If F : [0, 1] → R is a differentiable function such that \(\int^x_0f(t)dt,\) then the value of \(\int^1_0(F'(x)+f(x))e^xdx\) lies in the interval
1
\(\left[ {\frac{{330}}{{360}},\frac{{331}}{{360}}} \right]\)
2
\(\left[ {\frac{{327}}{{360}},\frac{{329}}{{360}}} \right]\)
3
\(\left[ {\frac{{331}}{{360}},\frac{{334}}{{360}}} \right]\)
4
\(\left[ {\frac{{335}}{{360}},\frac{{336}}{{360}}} \right]\)