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Popular >

integral of x^2+2y

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of 5sec^6(t)

\int 5 sec^{6} (t) d t

derivative of y=-x^2+5x+2 derivative of

y = - x^{2} + 5 x + 2

xy^{''}+3y^'=1984x^{1982}

x y^{^{''}} + 3 y^{^{'}} = 1984 x^{1982}

integral of (2e^x)/(e^{2x)+6e^x+9}

\int \frac{2 e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

derivative of f(x)=4x^2cos(x)-9x derivative of

f (x) = 4 x^{2} cos (x) - 9 x

Frequently Asked Questions (FAQ)

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