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