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Popular >

integral of 8xy

Solution

\int 8 x y

Solution

4 y x^{2} + C

Solution steps

\int 8 x y d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 8 y \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 8 y \frac{x ^{2}}{2}

Simplify

8 y \frac{x ^{2}}{2} : 4 y x^{2}

= 4 y x^{2}

Add a constant to the solution

= 4 y x^{2} + C

Popular Examples

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y = (1 + 5 x)^{8}, (0, 1)

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\frac{d}{d x} (n ln (0.4 n x + 0.6))

derivative of ((x^2))/(8+x)derivative of

\frac{( x ^{2} )}{8 + x}

area y=x^2,y=2-x^2 area

y = x^{2}, y = 2 - x^{2}

derivative of e^{x^5}derivative of

e^{x^{5}}

Frequently Asked Questions (FAQ)

What is the integral of 8xy ?
The integral of 8xy is 4yx^2+C