Integrals Test ...

$$\int \dfrac {dx}{\sqrt {x^{10} - x^{2}}}; x > 1=$$ ______ $$+ C$$.

Evaluate the integral
$$\displaystyle \int_{0}^{1}\frac{1}{1+x^{2}}dx$$

If $$A= \int_{0}^{1} x^{50}(2-x)^{50} dx, B= \int_{0}^{1}x^{50}(1-x)^{50}dx$$, which of the following is true?

The value of $$\int _{  }^{  }{ \cfrac { \log { x }  }{ { \left( x+1 \right)  }^{ 2 } }  } dx$$ is

$$\displaystyle\int_0^{\pi /2} {\dfrac{{\sin x}}{{\sqrt {1 + {\mathop{\rm cosx}\nolimits} } }}} dx = $$

What is $$\displaystyle \int \dfrac{dx}{x(1 + ln x)^n}$$ equal to $$(n \neq 1)$$ ?

Evaluate $$\displaystyle\int^1_0\dfrac{1}{(1+x^2)}dx$$

The integral $$\displaystyle \int_{0}^{\pi_/{3}}\frac{\cos x}{3+4\sin x}d_{X=}$$

Evaluate the integral
$$\displaystyle \int_{1}^{e^{3}}\frac{dx}{x\sqrt{1+\ln x}}$$

Evaluate the integral
$$\displaystyle \int_{0}^{\pi_/{2}}\frac{cosx}{1+sin^{2}x}dx $$