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Popular Calculus >

integral from 0 to 5 of x^2+1

Solution

\int_{0}^{5} x^{2} + 1 d x

Solution

\frac{140}{3}

+1

Decimal

46.66666 \dots

Solution steps

\int_{0}^{5} 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}^{5} x^{2} d x + \int_{0}^{5} 1 d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 1 d x = 5

= \frac{125}{3} + 5

Simplify

\frac{125}{3} + 5 : \frac{140}{3}

= \frac{140}{3}

Graph

Popular Examples

integral from 0 to 5 of x^2+5

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integral from 2x to x^5 of e^{-t^2}

integral from 1 to 3 of (x^3+4x)/(x^5)

integral from 0 to 1 of (2x^2+4x+1)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2+1 ?
The integral from 0 to 5 of x^2+1 is 140/3