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Popular >

integral from 0 to 7 of x^2-7x

Solution

\int_{0}^{7} x^{2} - 7 x d x

Solution

- \frac{343}{6}

+1

Decimal

- 57.16666 \dots

Solution steps

\int_{0}^{7} x^{2} - 7 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}^{7} x^{2} d x - \int_{0}^{7} 7 x d x

\int_{0}^{7} x^{2} d x = \frac{343}{3}

\int_{0}^{7} 7 x d x = \frac{343}{2}

= \frac{343}{3} - \frac{343}{2}

Simplify

\frac{343}{3} - \frac{343}{2} : - \frac{343}{6}

= - \frac{343}{6}

Graph

Popular Examples

integral from 0 to pi/4 of sin(4y)

\int_{0}^{\frac{π}{4}} sin (4 y) d y

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\int_{2}^{5} (2 x - 3) d x

integral from-1 to 1 of-x^3+3-x

\int_{- 1}^{1} - x^{3} + 3 - x d x

integral from 0 to 3 of (2x^2+x+6)

\int_{0}^{3} (2 x^{2} + x + 6) d x

integral from 0 to pi of 3

\int_{0}^{π} 3

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of x^2-7x ?
The integral from 0 to 7 of x^2-7x is -343/6