What is the integral of integral of 8x^3+2y^2 ?

The integral of integral of 8x^3+2y^2 is Cx+(2y^3)/3 x+2yx^4+C

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integral of integral of 8x^3+2y^2

\int \int 8 x^{3} + 2 y^{2} d y d x

C x + \frac{2 y ^{3}}{3} x + 2 y x^{4} + C

Solution steps

\int \int 8 x^{3} + 2 y^{2} d y d x

\int 8 x^{3} + 2 y^{2} d y = \frac{2 y ^{3}}{3} + 8 x^{3} y + C

= \int (\frac{2 y ^{3}}{3} + 8 x^{3} y + C) d x

\int (\frac{2 y ^{3}}{3} + 8 x^{3} y + C) d x = C x + \frac{2 y ^{3}}{3} x + 2 y x^{4} + C

= C x + \frac{2 y ^{3}}{3} x + 2 y x^{4} + C

\int \int x + y d x d y

\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

What is the integral of integral of 8x^3+2y^2 ?
The integral of integral of 8x^3+2y^2 is Cx+(2y^3)/3 x+2yx^4+C