Find ( int_0^{ /4} frac{5 ,sin (tan^{-1} x)}{1+x^2} ,dx ).

Discussion

Find ( int_2^3 ,2x^2 ,e^{x^3} ,dx ).
Evaluate ( int_{ sqrt{2}}^2 ,14x ,log x^2 ,dx )
Find ( int_{-1}^1 ,7x^6 ,(x^7+8)dx )
Find ( int_0^{ /4} frac{5 ,sin (tan^{-1} x)}{1+x^2} ,dx ).
Find ( int_1^2 frac{12 ,log x}{x} ,dx ).
Evaluate the integral ( int_1^6 frac{ sqrt{x}+3}{ sqrt{x}} ,dx ).
Find ( int_0^{ frac{ sqrt{ }}{2}} 2x ,cos x^2 ,dx ).
Find ( int_{-1}^1 frac{5x^4}{ sqrt{x^5+3}} dx ).
Find ( int_0^1 20x^3 e^{x^4} ) dx.
Evaluate the integral ( int_0^{ frac{ ^2}{4}} frac{9 sin sqrt{x}}{2 sqrt{x}} dx ).