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Popular >

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

Solution

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

Solution

20

Solution steps

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

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 2 d x = 8

= 28 - 8

Simplify

= 20

Popular Examples

integral from 0 to pi/2 of (sin^2(θ))/2

\int_{0}^{\frac{π}{2}} \frac{sin ^{2} ( θ )}{2} d θ

integral from x^2 to x^6 of (2t-1)^3

\int_{x^{2}}^{x^{6}} (2 t - 1)^{3} d t

integral from 0 to 4 of (3t-8)

\int_{0}^{4} (3 t - 8) d t

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (3x^2-2) ?
The integral from-1 to 3 of (3x^2-2) is 20