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Popular >

integral of-3x^2+x^3

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

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\int (2 - 5 x)^{9} d x

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\int \frac{99 x - 83}{121 x ^{2} - 176 x + 64} d x

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\int cos (4 x) sin (sin (4 x)) d x

integral of 3+sin(x)

\int 3 + sin (x) d x

integral of sec(x)(5sec(x)+9tan(x))

\int sec (x) (5 sec (x) + 9 tan (x)) d x

Frequently Asked Questions (FAQ)

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