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Popular >

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

Solution

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

Solution

21

Solution steps

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

\int_{0}^{3} 2 x^{2} d x = 18

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

= 18 + 3

Simplify

= 21

Graph

Popular Examples

integral from 1 to x of 3x^{-4}

\int_{1}^{x} 3 x^{- 4} d x

integral from 1 to 2 of tsqrt(1/2 t^2+8)

\int_{1}^{2} t \frac{1}{2} t^{2} + 8 d t

integral from a to b of 3x^2

\int_{a}^{b} 3 x^{2} d x

integral from 0 to 1 of (e^x+1)e^x

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

integral from 0 to 4 of 9x^2

\int_{0}^{4} 9 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (2x^2+1) ?
The integral from 0 to 3 of (2x^2+1) is 21