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Popular >

integral of (3x^2-3)

Solution

\int (3 x^{2} - 3) d x

Solution

x^{3} - 3 x + C

Solution steps

\int 3 x^{2} - 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x - \int 3 d x

\int 3 x^{2} d x = x^{3}

\int 3 d x = 3 x

= x^{3} - 3 x

Add a constant to the solution

= x^{3} - 3 x + C

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\int lo g_{10} (x^{2} + 1) d x

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integral of (4x^{11}-7x^3+8)

\int (4 x^{11} - 7 x^{3} + 8) d x

Frequently Asked Questions (FAQ)

What is the integral of (3x^2-3) ?
The integral of (3x^2-3) is x^3-3x+C