# Integration

This is a topics which has many useful applications. A students would learn this when taking O-level A-math class while learn this concept deeper when they take JC H2 Math class.

**Question**

Determine:

- ∫ 5x
^{4}dx - ∫ 3 dx
- ∫ 2 + x dx

**Answer**

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

*Note:*

*Integration 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*

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

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