Indefinite integrals

Exercise

1.

Find the integral of the following function．

(a)

$${\int (3x^{-3} + 4x^{5}) dx }$$

(b)

$${\int (t^{3}+ \frac{1}{t^{2}+1}) dt}$$

(c)

$${\int -2\tan^{2}{x} dx}$$

(d)

$${\int \frac{x^{3} + 1}{\sqrt{x}} dx}$$

(e)

$${\int \frac{x^{2} + 5}{x^{2} + 4} dx}$$

(f)

$${\int \frac{1}{\sqrt{4 - t^{2}}} dt}$$

(g)

$${\int \cos^{2}{x} dx}$$

(h)

$${\int \frac{1}{\sqrt{t^{2} + 4}} dt}$$

(i)

$${\int \frac{1}{4 - x^{2}}dx }$$