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Popular >

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

Solution

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

Solution

6

Solution steps

\int_{- 1}^{2} 3 x^{2} - 2 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_{- 1}^{2} 3 x^{2} d x - \int_{- 1}^{2} 2 x d x

\int_{- 1}^{2} 3 x^{2} d x = 9

\int_{- 1}^{2} 2 x d x = 3

= 9 - 3

Simplify

= 6

Popular Examples

integral from-1 to 1 of x^6

\int_{- 1}^{1} x^{6} d x

integral from 0 to 2 of |-x^2+3x-2|

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

integral from-2 to 2 of |x+1|

\int_{- 2}^{2} ∣ x + 1 ∣ d x

integral from 1 to 0 of |2x-1|

\int_{1}^{0} ∣ 2 x - 1 ∣ d x

integral from 0 to 2 of 3x^2sqrt(x^3+1)

\int_{0}^{2} 3 x^{2} x^{3} + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (3x^2-2x) ?
The integral from-1 to 2 of (3x^2-2x) is 6