Exercises

01

Integral computations - polynomials

Compute the following indefinite integrals. Don’t forget to add an indefinite constant $C$ to your antiderivative functions!

• (a) $\int 2x^3-\frac{2x^2}{3}+5xdx$
• (b) $\int \frac{4x^{19}-5x^{-8}}{x^2}dx$
• (c) $\int x(12x+8)dx$

02

Integral computations - funny polynomials

Compute the following indefinite integrals. Don’t forget to add an indefinite constant $C$ to your antiderivative functions!

• (a) $\int 7x^{2/5}+8x^{-4/5}dx$
• (b) $\int \sqrt{2}+\sqrt{x}+\sqrt{x+2}dx$
• (c) $\int \frac{1}{5}-\frac{2}{x}dx$