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Popular >

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

Solution

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

Solution

\frac{245}{3}

+1

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}

Popular Examples

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\int_{0}^{1} x^{2} e^{x} d x

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\int_{0}^{1} 4 y^{4} d y

integral from 1 to 10 of 1/t

\int_{1}^{10} \frac{1}{t} d t

integral from 0 to 3.5 of \sqrt[3]{3x+4}

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

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

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