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Popular Calculus >

integral of integral of sqrt(x+y)

Solution

\int \int x + y d x d y

Solution

C y + \frac{2}{15} (2 y (x + y)^{\frac{3}{2}} + 2 x (y + x)^{\frac{3}{2}}) + C

Solution steps

\int \int x + y d x d y

\int x + y d x = \frac{2}{3} (y + x)^{\frac{3}{2}} + C

= \int (\frac{2}{3} (y + x)^{\frac{3}{2}} + C) d y

\int (\frac{2}{3} (y + x)^{\frac{3}{2}} + C) d y = C y + \frac{2}{15} (2 y (x + y)^{\frac{3}{2}} + 2 x (y + x)^{\frac{3}{2}}) + C

= C y + \frac{2}{15} (2 y (x + y)^{\frac{3}{2}} + 2 x (y + x)^{\frac{3}{2}}) + C

Popular Examples

integral of integral of x^3

\int \int x^{3} d x d x

integral of integral of x^2+y

\int \int x^{2} + y d x d y

integral from 1 to 3 of integral from 2 to 4 of e^{x^2+y^2}

\int_{1}^{3} \int_{2}^{4} e^{x^{2} + y^{2}} d y d x

integral from 0 to infinity of integral from 0 to y of ce^{-x-y}

\int_{0}^{\infty} \int_{0}^{y} c e^{- x - y} d x d y

integral of integral of x^y

\int \int x^{y} d x d y

Frequently Asked Questions (FAQ)

What is the integral of integral of sqrt(x+y) ?
The integral of integral of sqrt(x+y) is Cy+2/15 (2y(x+y)^{3/2}+2x(y+x)^{3/2})+C