Evaluate

$\int\limits_0^1 {\dfrac{{dx}}{{x + {x^{ - 4}}}} = }$

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

$f(x)=\{x+1 \quad$ যখন $x=0$

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

2.   $\int_{0}^{1} f{\left ( x \right )} dx = 3/2$

3.   $f{\left ( - 1 \right )} = 1$

নিচের কোনটি সঠিক?

The value of ;$\displaystyle \int_{0}^{\pi /4}\frac{\sec x}{\left ( \sec x+\tan x \right )^{2}}dx$ is& ;

f $k = e^{2007}$ then value of $\displaystyle I =\int_{1}^{k}\frac{ \pi \cos (\pi \log x )} {x} dx$ is