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Popular >

integral of-10x^4y^5

Solution

\int - 10 x^{4} y^{5} d x

Solution

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

Solution steps

\int - 10 x^{4} y^{5} d x

Take the constant out:

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

= - 10 y^{5} \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= - 10 y^{5} \frac{x ^{5}}{5}

Simplify

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

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

Add a constant to the solution

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

Popular Examples

derivative of ln(sqrt(4-x^2))derivative of

ln (4 - x^{2})

integral of (1-cos^2(x))/(sin(x))

\int \frac{1 - cos ^{2} ( x )}{sin ( x )} d x

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

(3y^3+2xy^3)+(3xy^2+3y^2)((dy)/(dx))=0

(3 y^{3} + 2 x y^{3}) + (3 x y^{2} + 3 y^{2}) (\frac{d y}{d x}) = 0

derivative of (10)/(ln(x))derivative of

\frac{10}{ln ( x )}

Frequently Asked Questions (FAQ)

What is the integral of-10x^4y^5 ?
The integral of-10x^4y^5 is -2y^5x^5+C