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Popular Calculus >

integral of 3x^2-4x^3

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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\int x^{2} sin (- 6 x) d x

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\int 68 x^{- \frac{1}{5}} tan (x^{\frac{4}{5}}) d x

Frequently Asked Questions (FAQ)

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