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Popular Calculus >

integral of 3+x^2

Solution

\int 3 + x^{2} d x

Solution

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

Solution steps

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

\int 3 d x = 3 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

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integral of x^2sin^2(x/2)

integral of (x-arctan(x))/(x^3)

Frequently Asked Questions (FAQ)

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