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Popular >

integral from 0 to 6 of (x^2-6x)

Solution

\int_{0}^{6} (x^{2} - 6 x) d x

Solution

- 36

Solution steps

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

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

\int_{0}^{6} 6 x d x = 108

= 72 - 108

Simplify

= - 36

Popular Examples

integral from 1 to 4 of x^3e^x

\int_{1}^{4} x^{3} e^{x} d x

integral from 1 to infinity of (e^x)/(1+e^{2x)}

\int_{1}^{\infty} \frac{e ^{x}}{1 + e ^{2 x}} d x

integral from 5 to 13 of xsqrt(x^2-25)

\int_{5}^{13} x x^{2} - 25 d x

integral from 1 to 4 of pi(x-1)

\int_{1}^{4} π (x - 1) d x

integral from 2 to infinity of e^{2-x}

\int_{2}^{\infty} e^{2 - x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (x^2-6x) ?
The integral from 0 to 6 of (x^2-6x) is -36