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Popular >

integral of x^3-3x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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\int 5 x e^{10 x} d x

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x \to 0 + lim (\frac{x ^{2} - 3 x + 2}{x ^{3} - 2 x ^{2}})

taylor ln(2+5x)taylor

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x^{2} (\frac{d y}{d x}) + x y = 1

Frequently Asked Questions (FAQ)

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