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Integration

Basic Integrals

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

1. m dx = mx + c, for any number m.
2. xⁿ dx = + c, if n ≠ –1.
3. dx = ln |x| + c, for x ≠ 0.
4. sin x dx = −cos x + c
5. cos x dx = sin x + c
6. e^x dx = e^x + 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.

<< Definition | Integration Index | Rules >>