Integration Basic Integrals

Integration

Basic Integrals

By using the basic formulas of derivatives we can verify the following:

m dx = mx + c, for any number m.
xn dx = + c, if n ≠ –1.
dx = ln |x| + c, for x ≠ 0.
sin x dx = −cos x + c
cos x dx = sin x + c
ex dx = ex + c
Note that the variable x used above can be replaced by any other symbol.

Examples

cos θ dθ = sin θ + c

15 dx = 15x + c

y dy = ½y2 + c



Exercise

Do plenty of exercises until you feel confident of these basic integrals.