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Popular >

integral from-3 to 5 of (y^3-4y)

Solution

\int_{- 3}^{5} (y^{3} - 4 y) d y

Solution

104

Solution steps

\int_{- 3}^{5} y^{3} - 4 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 3}^{5} y^{3} d y - \int_{- 3}^{5} 4 y d y

\int_{- 3}^{5} y^{3} d y = 136

\int_{- 3}^{5} 4 y d y = 32

= 136 - 32

Simplify

= 104

Graph

Popular Examples

integral from 0 to 2 of 3

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

integral from-infinity to 0 of e^{4x}

\int_{- \infty}^{0} e^{4 x} d x

limit as x approaches 0 of e^{3x}

x \to 0 lim (e^{3 x})

integral of sqrt((arcsin(x))/(1-x^2))

\int \frac{arcsin ( x )}{1 - x ^{2}} d x

limit as x approaches 4 of (|x-4|)/(x-4)

x \to 4 lim (\frac{∣ x - 4 ∣}{x - 4})

Frequently Asked Questions (FAQ)

What is the integral from-3 to 5 of (y^3-4y) ?
The integral from-3 to 5 of (y^3-4y) is 104