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Popular Calculus >

integral from 1 to 6 of (x^2+2)

Solution

\int_{1}^{6} (x^{2} + 2) d x

Solution

\frac{245}{3}

+1

Decimal

81.66666 \dots

Solution steps

\int_{1}^{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_{1}^{6} x^{2} d x + \int_{1}^{6} 2 d x

\int_{1}^{6} x^{2} d x = \frac{215}{3}

\int_{1}^{6} 2 d x = 10

= \frac{215}{3} + 10

Simplify

\frac{215}{3} + 10 : \frac{245}{3}

= \frac{245}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of (x^2+2) ?
The integral from 1 to 6 of (x^2+2) is 245/3