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Popular >

integral from 0 to 3 of (x^2+1)

Solution

\int_{0}^{3} (x^{2} + 1) d x

Solution

12

Solution steps

\int_{0}^{3} 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_{0}^{3} x^{2} d x + \int_{0}^{3} 1 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 1 d x = 3

= 9 + 3

Simplify

= 12

Graph

Popular Examples

sum from n=0 to infinity of 3/n

n = 0 \sum \infty \frac{3}{n}

integral of (x+2)^{-1/2}

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

integral of (\sqrt[8]{x})

\int (8 x) d x

integral of x^2in(2x)

\int x^{2} in (2 x) d x

x^2y^{''}+xy^'-9y=0

x^{2} y^{^{''}} + x y^{^{'}} - 9 y = 0

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x^2+1) ?
The integral from 0 to 3 of (x^2+1) is 12