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Popular >

integral from 0 to 6 of x^2+2

Solution

\int_{0}^{6} x^{2} + 2 d x

Solution

84

Solution steps

\int_{0}^{6} x^{2} + 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_{0}^{6} x^{2} d x + \int_{0}^{6} 2 d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 2 d x = 12

= 72 + 12

Simplify

= 84

Graph

Popular Examples

integral from 0 to 1 of x^2+2x-3

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

integral from 0 to 120 of 3-3e^{-0.15x}

\int_{0}^{120} 3 - 3 e^{- 0.15 x} d x

integral from 1 to 4 of (3x-2)/(sqrt(x))

\int_{1}^{4} \frac{3 x - 2}{x} d x

integral from 0 to 2 of 2e^{2x}

\int_{0}^{2} 2 e^{2 x} d x

integral from 1 to 2 of sqrt(1+9/4 x)

\int_{1}^{2} 1 + \frac{9}{4} x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of x^2+2 ?
The integral from 0 to 6 of x^2+2 is 84