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Popular >

integral of 10x^3y

Solution

\int 10 x^{3} y d y

Solution

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

Solution steps

\int 10 x^{3} y d y

Take the constant out:

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

= 10 x^{3} \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 10 x^{3} \frac{y ^{2}}{2}

Simplify

10 x^{3} \frac{y ^{2}}{2} : 5 x^{3} y^{2}

= 5 x^{3} y^{2}

Add a constant to the solution

= 5 x^{3} y^{2} + C

Graph

Popular Examples

derivative of y=((x))/(sqrt(x^2+1))derivative of

y = \frac{( x )}{x ^{2} + 1}

tangent of \sqrt[5]{x}tangent of

5 x

slope of f(x)=x^4-17x^2+16 slope

f (x) = x^{4} - 17 x^{2} + 16

integral from 0 to 1 of x^2-x^3

\int_{0}^{1} x^{2} - x^{3} d x

tangent of f(x)=2x^2+1,(-1,3)tangent of

f (x) = 2 x^{2} + 1, (- 1, 3)

Frequently Asked Questions (FAQ)

What is the integral of 10x^3y ?
The integral of 10x^3y is 5x^3y^2+C