Integration Bee Examples | Department of Mathematics

Integration Bee Examples

Example Problems
To see a hint on how to do an integral, move your mouse cursor over the integral
$\displaystyle\int\frac{x^2+2x+1}{x^4}\,dx$
$\displaystyle\int\frac{\sin\sqrt{x}}{\sqrt{x}}\,dx$
$\displaystyle\int x^2\sqrt{x+4}\,dx$
$\displaystyle\int{x}^3e^{-x^2}\,dx$
$\displaystyle\int\frac{dx}{x^2+x+1}\,dx$
$\displaystyle\int\sqrt{1-e^x}\,dx$
$\displaystyle\int\frac{x}{2+e^x+e^{-x}}\,dx$
$\displaystyle\int\sec^5x\,dx$
$\displaystyle\int\frac{dx}{\sqrt{1-x^2+\arcsin x-x^2\arcsin x}}$
$\displaystyle\int\frac{1+\sin x}{1+\cos x}\,dx$
$\displaystyle\int\frac{dx}{(x^2+4)^3}$
$\displaystyle\int\frac{dx}{x^4-16}$
$\displaystyle\int\frac{\cos\ln{x}}{x}\,dx$
$\displaystyle\int\frac{(x-1)^3}{x^2}\,dx$
$\displaystyle\int\frac{x^2\,dx}{\sqrt{x-1}}$
$\displaystyle\int{x}^3\sin(x^2)\,dx$
$\displaystyle\int\sqrt{x}\ln{x}\,dx$
$\displaystyle\int\frac{dx}{\sin{x}+\cos{x}}$
$\displaystyle\int{e^x\sin{x}\,dx}$
$\displaystyle\int\frac{x^2\,dx}{(x^2+8)^{3/2}}$
$\displaystyle\int\frac{dx}{x^3+8}$
$\displaystyle\int\frac{dx}{x\ln{x}}$
$\displaystyle\int\frac{x^2\,dx}{\sqrt{x+3}}$
$\displaystyle\int{x^3e^{x^2}}\,dx$