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Popular >

integral from-3 to 3 of y^2

Solution

\int_{- 3}^{3} y^{2} d y

Solution

18

Solution steps

\int_{- 3}^{3} y^{2} d y

Apply the Power Rule

: [\frac{y ^{3}}{3}]_{- 3}^{3}

= [\frac{y ^{3}}{3}]_{- 3}^{3}

Compute the boundaries:

18

= 18

Graph

Popular Examples

integral from 1 to 4 of 8sqrt(x)

\int_{1}^{4} 8 x d x

integral from 0 to pi of (sin(x)cos(x))

\int_{0}^{π} (sin (x) cos (x)) d x

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

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

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

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

integral from 1 to 5 of ln(4x)

\int_{1}^{5} ln (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of y^2 ?
The integral from-3 to 3 of y^2 is 18