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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

derivative of (x-2^2(x+2)^2)

\frac{d}{d x} ((x - 2)^{2} (x + 2)^{2})

integral of xsin(1/3)x

\int x sin (\frac{1}{3}) x d x

ty^'+4y=t^2-t+5

t y^{^{'}} + 4 y = t^{2} - t + 5

integral from 1 to 8 of (\sqrt[3]{x})

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

(\partial)/(\partial t)(1+2t)

\frac{\partial}{\partial t} (1 + 2 t)

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