Integration Problems
Here is the integration problem set to test your integration skills.
Integration by Substitution problems
These Problems can be easily solve using integration by substitution .
Explore these integration by substitution examples to learn.
$ \frac{x}{e^{x^{2}}} $
$ \frac{2 x}{1+x^{2}} $
$ \frac{x}{9-4 x^{2}} $
$ x \sqrt{1+2 x^{2}} $
$ \frac{1}{x-\sqrt{x}} $
$ \cot x \log \sin x $
$ \frac{\sin x}{1+\cos x} $
$ \frac{1}{1-\tan x} $
$ \int\left(x^{2}+10\right)^{50} 2 x d x $
$ \int 8 x^{2}\left(3 x^{3}-1\right)^{16} d x $
$ \frac{e^{2 x}-1}{e^{2 x}+1} $
$ \frac{e^{t a n^{-1} x}}{1+x^{2}} $
$ \sec ^{2}(7-4 x) $
$ \frac{1}{x+x \log x} $
Integration by Parts problems
These Problems can be easily solve using integration by parts .
Explore all integration by parts examples to learn.
$ \int \frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}} d x $
$ \int x e^{-x} d x $
$ \int\left(1+x^{2}\right) e^{-x} d x $
$ \int e^{x} \sin x d x $
$ x \sec ^{2} x $
$ \int 3 x e^{4 x} d x $
$ \int x \ln x d x $
$ \tan ^{-1} x $
$ x^{2} \log x $
$ e^{x}(\sin x+\cos x) $
$ e^{2 x} \sin x $
$ \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) $
$ \frac{(x-3) e^{x}}{(x-1)^{3}} $
$ x \log 2 x $
Solve these math problems by yourself.
If you could not solve a problem ask for help using post your problem .