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Popular >

integral of 10x-12x^3

Solution

\int 10 x - 12 x^{3} d x

Solution

5 x^{2} - 3 x^{4} + C

Solution steps

\int 10 x - 12 x^{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 10 x d x - \int 12 x^{3} d x

\int 10 x d x = 5 x^{2}

\int 12 x^{3} d x = 3 x^{4}

= 5 x^{2} - 3 x^{4}

Add a constant to the solution

= 5 x^{2} - 3 x^{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 10x-12x^3 ?
The integral of 10x-12x^3 is 5x^2-3x^4+C