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Popular >

integral from 1 to 2 of (2-6y^2)

Solution

\int_{1}^{2} (2 - 6 y^{2}) d y

Solution

- 12

Solution steps

\int_{1}^{2} 2 - 6 y^{2} 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} 2 d y - \int_{1}^{2} 6 y^{2} d y

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

\int_{1}^{2} 6 y^{2} d y = 14

= 2 - 14

Simplify

= - 12

Popular Examples

integral from 2 to 5 of 2piy(5-y)

\int_{2}^{5} 2 π y (5 - y) d y

integral from 0 to 4 of (x^2)/(16)

\int_{0}^{4} \frac{x ^{2}}{16} d x

integral from 1 to 2 of-1/x

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

integral from 0 to pi/3 of e^{-t}cos(t)

\int_{0}^{\frac{π}{3}} e^{- t} cos (t) d t

integral from 1 to 2 of x^2-1/(4x^2)

\int_{1}^{2} x^{2} - \frac{1}{4 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2-6y^2) ?
The integral from 1 to 2 of (2-6y^2) is -12