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Popular >

integral of-4x^3+3x^2

Solution

\int - 4 x^{3} + 3 x^{2} d x

Solution

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

Solution steps

\int - 4 x^{3} + 3 x^{2} 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 4 x^{3} d x + \int 3 x^{2} d x

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

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

= - x^{4} + x^{3}

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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