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Popular >

integral from 0 to 2 of x-3y^2

Solution

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

Solution

2 - 6 y^{2}

Solution steps

\int_{0}^{2} x - 3 y^{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_{0}^{2} x d x - \int_{0}^{2} 3 y^{2} d x

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

\int_{0}^{2} 3 y^{2} d x = 6 y^{2}

= 2 - 6 y^{2}

Popular Examples

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

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

integral from 0 to 4 of e^{-st}

\int_{0}^{4} e^{- s t} d t

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

\int_{0}^{1} \frac{x ^{2} - 1}{1 + x ^{2}} d x

integral from 1 to 2 of x^2+6/2 x

\int_{1}^{2} x^{2} + \frac{6}{2} x d x

integral from 0 to 4 of |x^2-5|

\int_{0}^{4} x^{2} - 5 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x-3y^2 ?
The integral from 0 to 2 of x-3y^2 is 2-6y^2