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Popular Calculus >

integral of 4x-8y^3

Solution

\int 4 x - 8 y^{3}

Solution

2 x^{2} - 8 y^{3} x + C

Solution steps

\int 4 x - 8 y^{3} 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 4 x d x - \int 8 y^{3} d x

\int 4 x d x = 2 x^{2}

\int 8 y^{3} d x = 8 y^{3} x

= 2 x^{2} - 8 y^{3} x

Add a constant to the solution

= 2 x^{2} - 8 y^{3} x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4x-8y^3 ?
The integral of 4x-8y^3 is 2x^2-8y^3x+C