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Popular >

integral from-1 to 2 of 3x^2+2x-1

Solution

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

Solution

9

Solution steps

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

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

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

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

= 9 + 3 - 3

Simplify

= 9

Popular Examples

integral from-2 to 2 of e^{-(x^2)/2}

\int_{- 2}^{2} e^{- \frac{x ^{2}}{2}} d x

integral from 1 to x of sqrt(1+x^4)

\int_{1}^{x} 1 + x^{4} d x

integral from 0 to a of 1/(sqrt(a-x))

\int_{0}^{a} \frac{1}{a - x} d x

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

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

integral from-4 to 4 of x-2

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 3x^2+2x-1 ?
The integral from-1 to 2 of 3x^2+2x-1 is 9