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Popular >

integral from-1 to 2 of y^2+4

Solution

\int_{- 1}^{2} y^{2} + 4 d y

Solution

15

Solution steps

\int_{- 1}^{2} y^{2} + 4 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_{- 1}^{2} y^{2} d y + \int_{- 1}^{2} 4 d y

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

\int_{- 1}^{2} 4 d y = 12

= 3 + 12

Simplify

= 15

Popular Examples

integral from 0 to 2 of 20x

\int_{0}^{2} 20 x d x

integral from 0 to x^2 of x^2e^{x^2}

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

integral from-1 to 5 of-x^2+4x+5-x+1

\int_{- 1}^{5} - x^{2} + 4 x + 5 - x + 1 d x

integral from 0 to pi/3 of (1-2sin(x))^2

\int_{0}^{\frac{π}{3}} (1 - 2 sin (x))^{2} d x

integral from 0 to 3 of sqrt(1+(8x)^2)

\int_{0}^{3} 1 + (8 x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of y^2+4 ?
The integral from-1 to 2 of y^2+4 is 15