integral of integral of sqrt(x+y)

Soluzione

\int \int x + y d x d y

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

Fasi della soluzione

\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

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

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

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

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

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