Integration

Integration (Question)

Find:

1. ∫ 3x² dx
2. ∫ 5 dx
3. ∫ 3 + x dx

Guide:

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

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