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Popular >

integral from 3 to 6 of x^2-3x

Solution

\int_{3}^{6} x^{2} - 3 x d x

Solution

\frac{45}{2}

+1

Solution steps

\int_{3}^{6} x^{2} - 3 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_{3}^{6} x^{2} d x - \int_{3}^{6} 3 x d x

\int_{3}^{6} x^{2} d x = 63

\int_{3}^{6} 3 x d x = \frac{81}{2}

= 63 - \frac{81}{2}

Simplify

63 - \frac{81}{2} : \frac{45}{2}

= \frac{45}{2}

Popular Examples

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

\int_{0}^{3} 6 x - x^{2} d x

integral from-pi/2 to pi/2 of cos(x)-1

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) - 1 d x

integral from 0 to 2pi of 1/2

\int_{0}^{2 π} \frac{1}{2}

integral from-pi/2 to pi/2 of cos(x)-4

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) - 4 d x

integral from 1 to 2 of (5-2x)

\int_{1}^{2} (5 - 2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of x^2-3x ?
The integral from 3 to 6 of x^2-3x is 45/2