Integrals Test ...

The value of the definite integral $$\displaystyle \int_{0}^{\pi/2}sinx\space sin2x\space sin3xdx$$ is equal to  

If $$\displaystyle \int f(x) dx = F(x)$$, then $$\displaystyle \int x^3 f(x^2) dx$$ is equal to

Abscissae of point of intersection are in 

The value of
$$\int_{2}^{5} \dfrac {\sqrt x}{\sqrt {x} + \sqrt {7-x}} dx$$
is :

If $$A(x) = \int_{0}^{x} \theta ^2 d\theta$$
then value of $$A(3)$$ will be :

$$\int_{a-c}^{b-c} f(x+c) dx $$ is:

$$\int_{0}^{log 5} \displaystyle \frac{e^{x}\sqrt{e^{x}-1}}{e^{x}+3}  dx =$$

If  $$\displaystyle I_n=\int_{0}^{\tfrac{\pi}{4}} \tan^nx\sec^2xdx,$$ then  $$I_1,   I_2,  I_3..$$ are  in

Evaluate: $$\displaystyle \int_{0}^{\pi}\frac{dx}{5+4\cos x}$$