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Popular >

integral of x^2+1

Solution

\int x^{2} + 1 d x

Solution

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

Solution steps

\int x^{2} + 1 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^{2} d x + \int 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

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derivative of f(x)=(sqrt(x))/(4+x)derivative of

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integral of 1/((x+1)(x^2+1))

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

integral of x^3sqrt(x^2-9)

\int x^{3} x^{2} - 9 d x

Frequently Asked Questions (FAQ)

What is the integral of x^2+1 ?
The integral of x^2+1 is (x^3)/3+x+C