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Popular >

integral of 2xy^3+1

Solution

\int 2 x y^{3} + 1 d x

Solution

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

Solution steps

\int 2 x y^{3} + 1 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 1 d x + \int 2 y^{3} x d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

integral of x(1+x^2)^9

\int x (1 + x^{2})^{9} d x

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\int ln (10)

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\int 3 x e^{\frac{1}{2} x^{2}} d x

integral of x^3sqrt(x^3)

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

Frequently Asked Questions (FAQ)

What is the integral of 2xy^3+1 ?
The integral of 2xy^3+1 is x+y^3x^2+C