Practice questions for Integration

 

1). $\displaystyle \int \cos^{-1}(\sin x) dx$

2). $\displaystyle \int \frac{2}{1+\cos 2x}dx$

3). $\displaystyle \int \frac{dx}{x^2+16}$

4). $\displaystyle \int \frac{2-3\sin x}{1\cos^2 x}dx$

5). $\displaystyle \int \sin^3 x dx$

6). $\displaystyle \int e^{2x}\frac{1-\sin 2x}{1-\cos 2x}dx$

7). $\displaystyle \int e^{2x} \sin x dx$

8). $\displaystyle \int \frac{x^2+4}{x^4+16}dx$

9). $\displaystyle \int x.\log{|x+1|} dx$

10).$\displaystyle \int \sin^{-1}\left (\frac{2x}{1+x^2}\right )dx$