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Popular >

integral from-2 to 3 of (3x^2-4x)

Solution

\int_{- 2}^{3} (3 x^{2} - 4 x) d x

Solution

25

Solution steps

\int_{- 2}^{3} 3 x^{2} - 4 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_{- 2}^{3} 3 x^{2} d x - \int_{- 2}^{3} 4 x d x

\int_{- 2}^{3} 3 x^{2} d x = 35

\int_{- 2}^{3} 4 x d x = 10

= 35 - 10

Simplify

= 25

Popular Examples

integral from-2 to 3 of 6

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

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

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

integral from 1 to 0 of xln(x)

\int_{1}^{0} x ln (x) d x

integral from-1 to 1 of z

\int_{- 1}^{1} z d z

integral from 5 to 20 of x^{3/2}

\int_{5}^{20} x^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (3x^2-4x) ?
The integral from-2 to 3 of (3x^2-4x) is 25