# Integration

**Integration (Question)**

Find:

- ∫ 3x
^{2}dx - ∫ 5 dx
- ∫ 3 + x dx

*Guide:
*

*It is a reverse of derivative function.*

*∫ k dx = kx + c*

*∫ x ^{n} dx = x^{n+1}/n+1 + c*

*∫ sin x dx = -cos x + c*

*∫ cos x dx = sin x + c*

*Multiplication by constant*

*∫ kx ^{n} dx = k ∫ x^{n} dx*

*Sum Rule*

*∫ f(x) + g(x) dx = ∫ f(x) dx + ∫ g(x) dx*

**Integration (Answer)**

- x
^{3}+ c - 5x + c
- 3x + x
^{2}/2 + c

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