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Popular >

integral of x^2+1

Solution

integral

x^{2} + 1

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

integral of 6/(3sqrt(x))

\int \frac{6}{3 x} d x

integral of 1/(1+v)

\int \frac{1}{1 + v} d v

integral of 2/((x+3)^2)

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

integral of e^{-2z}

\int e^{- 2 z} d z

integral of (sqrt(100-x^2))/(x^2)

\int \frac{100 - x ^{2}}{x ^{2}} 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