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Popular >

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

Solution

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

Solution

\frac{280}{3}

+1

Decimal Notation

93.33333 \dots

Solution steps

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

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 6 d x = 24

= \frac{208}{3} + 24

Simplify

\frac{208}{3} + 24 : \frac{280}{3}

= \frac{280}{3}

Popular Examples

integral from 0 to 4 of sqrt(9x^2+x^4)

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

integral from 0 to 1 of 1/((mx+1)^2)

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

integral from 0 to 1 of e^x-x*e^x

\int_{0}^{1} e^{x} - x \cdot e^{x} d x

integral from 2 to 7 of 2x+1

\int_{2}^{7} 2 x + 1 d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^2+6) ?
The integral from 2 to 6 of (x^2+6) is 280/3