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Popular >

integral of 2xy^2+2y

Solution

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

Solution

2 y x + y^{2} x^{2} + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int 2 y d x = 2 y x

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

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

Add a constant to the solution

= 2 y x + y^{2} x^{2} + C

Popular Examples

integral of 1/100 e^{(-x)/(100)}

\int \frac{1}{100} e^{\frac{- x}{100}} d x

integral of sin^{99}(x)cos^3(x)

\int sin^{99} (x) cos^{3} (x) d x

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\int \frac{4 ^{x} + 5 \cdot 1 6 ^{x}}{1 + 1 6 ^{x}} d x

integral of x^8(1+x^3)^{1/2}

\int x^{8} (1 + x^{3})^{\frac{1}{2}} d x

integral of 3/(x(x^2+3)^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 2xy^2+2y ?
The integral of 2xy^2+2y is 2yx+y^2x^2+C