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:
- ∫ 5x4 dx
- ∫ 3 dx
- ∫ 2 + x dx
- x5 + c
- 3x + c
- 2x + x2/2 + c
Integration is a reverse of derivative function.
∫ k dx = kx + c
∫ xn dx = xn+1/n+1 + c
∫ sin x dx = -cos x + c
∫ cos x dx = sin x + c
Multiplication by constant
∫ kxn dx = k ∫ xn dx
Sum Rule
∫ g(x) + h(x) dx = ∫ g(x) dx + ∫ h(x) dx
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