Indefinite Iintegrals - Part 1

Basic integrals

Add C (constant) to given ∫f(x)dx

S.no. f(x) ∫f(x)dx

1. 0 ... C (constant)

2. xⁿ (n not equal to -1) ... xⁿ⁺¹/(n+1)

3. 1/x ... ln|x|

4. e^x ... e^x

5. a^x ... a^x/ln a

Trigonometric functions

6. sin x ... -cos x

7. cos x ... sin x

8. Cosec²x ...-cot x

9. sec²x ... tan x


Good online material

http://tutorial.math.lamar.edu/Classes/CalcI/IntegralsIntro.aspx