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Popular >

integral of 6x^2y-2x

Solution

\int 6 x^{2} y - 2 x d y

Solution

- 2 x y + 3 x^{2} y^{2} + C

Solution steps

\int 6 x^{2} y - 2 x 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 2 x d y + \int 6 x^{2} y d y

\int 2 x d y = 2 x y

\int 6 x^{2} y d y = 3 x^{2} y^{2}

= - 2 x y + 3 x^{2} y^{2}

Add a constant to the solution

= - 2 x y + 3 x^{2} y^{2} + C

Popular Examples

(\partial)/(\partial x)(yx^2+xy^2+yz^2)

\frac{\partial}{\partial x} (y x^{2} + x y^{2} + y z^{2})

integral of (e^x(1+x))/(cos^2(xe^x))

\int \frac{e ^{x} ( 1 + x )}{cos ^{2} ( x e ^{x} )} d x

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\frac{d}{d x} (\frac{x}{8} - \frac{8}{x})

tangent of f(x)=sin(x),(0,0)tangent of

f (x) = sin (x), (0, 0)

slope of (1.7)(10.8)slope

(1.7) (10.8)

Frequently Asked Questions (FAQ)

What is the integral of 6x^2y-2x ?
The integral of 6x^2y-2x is -2xy+3x^2y^2+C