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Popular >

integral from 0 to x of x+2y

Solution

\int_{0}^{x} x + 2 y d y

Solution

2 x^{2}

Solution steps

\int_{0}^{x} x + 2 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_{0}^{x} x d y + \int_{0}^{x} 2 y d y

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

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

= x^{2} + x^{2}

Simplify

= 2 x^{2}

Popular Examples

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

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

integral from 1 to 2 of (x-2)^5

\int_{1}^{2} (x - 2)^{5} d x

integral from-5 to-3 of-x^2-3x

\int_{- 5}^{- 3} - x^{2} - 3 x d x

integral from 0 to 4 of (3x+4)

\int_{0}^{4} (3 x + 4) d x

integral from 0 to sqrt(2 of)2x-x^3

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to x of x+2y ?
The integral from 0 to x of x+2y is 2x^2