Evaluate the integral

$\displaystyle \int_{1}^{e}\frac{(\ln x)^{3}}{x}dx$

The value of $\displaystyle\int^{199\pi/2}_{-\pi/2}\sqrt{(1+\cos 2x)}dx$ is?

$\int_{0}^{\pi / 2} \cos x d x=\text { কত? }$

$\int_{0}^{\frac{\pi}{6}} \sin ^{2} x \cos x d x=$ কত ?

 f(x)=  $\left \lbrace \begin{matrix} x + 1 & f{\quad\text{or}\quad} & x & = & 0 \end{matrix} \right .$  হলে-

1.   $\int_{- 1}^{- \frac{1}{2}} f{\left ( x \right )} dx = \frac{1}{8}$

2.   $\int_{0}^{1} f{\left ( x \right )} dx = 0$

3.   $f{\left ( - 1 \right )} = 1$

নিচের কোনটি সঠিক?