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Popular >

integral of 3x+x^2

Solution

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

Solution

\frac{3 x ^{2}}{2} + \frac{x ^{3}}{3} + C

Solution steps

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

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

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

= \frac{3 x ^{2}}{2} + \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{3 x ^{2}}{2} + \frac{x ^{3}}{3} + C

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\int x^{3} sin (x^{2} + 1) d x

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\int ln (2 x^{2} + 5) d x

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\int \frac{2}{c ^{2} - x ^{2}} d x

integral of e^xarcsin(sqrt(1-e^{2x)})

\int e^{x} arcsin (1 - e^{2 x}) d x

Frequently Asked Questions (FAQ)

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