Calculus/Integration/Exercises

<< Back to Integration

Set One: Sums

[Insert Numbered Problems Here]

Solutions to Set One

Set Two: Integration of Polynomials

Given the above rules, practice indefinite integration on the following:

1. $\int x^{12}dx$
2. $\int 8x^{3}dx$
3. $\int 4x^2+11x^{3}dx$
4. $\int 31x^{32}+4x^3-9x^{4}dx$
5. $\int 5x^{-2}dx$

Solutions to Set Two

Indefinite Integration

Antiderivatives

1. $\int \cos x+\sin xdx$
2. $\int 3\sin xdx$
3. $\int 1+{\tan }^{2}xdx$
4. $\int 3x-{\sec }^{2}xdx$
5. $\int -e^{x}dx$
6. $\int 8e^{x}dx$
7. $\int \frac{1}{7x}dx$
8. $\int \frac{1}{x^2+a^2}dx$

Solutions to Set Three