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Popular >

integral from 0 to 3 of 2x^2-6x

Solution

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

Solution

- 9

Solution steps

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

\int_{0}^{3} 2 x^{2} d x = 18

\int_{0}^{3} 6 x d x = 27

= 18 - 27

Simplify

= - 9

Popular Examples

integral from 5 to 9 of 2400xsqrt(3+2x)

\int_{5}^{9} 2400 x 3 + 2 x d x

integral from 0 to 4 of (x^2-2y^2+1)

\int_{0}^{4} (x^{2} - 2 y^{2} + 1) d x

integral from 2 to 5 of 5^{5x}

\int_{2}^{5} 5^{5 x} d x

integral from 2 to 4 of x/2

\int_{2}^{4} \frac{x}{2} d x

integral from 0 to 5 of x(x^2-1)^3

\int_{0}^{5} x (x^{2} - 1)^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 2x^2-6x ?
The integral from 0 to 3 of 2x^2-6x is -9