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Popular >

integral of 3x^5y^3

Solution

\int 3 x^{5} y^{3} d y

Solution

\frac{3 x ^{5} y ^{4}}{4} + C

Solution steps

\int 3 x^{5} y^{3} d y

Take the constant out:

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

= 3 x^{5} \cdot \int y^{3} d y

Apply the Power Rule

: \frac{y ^{4}}{4}

= 3 x^{5} \frac{y ^{4}}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 x ^{5} y ^{4}}{4}

Add a constant to the solution

= \frac{3 x ^{5} y ^{4}}{4} + C

Popular Examples

integral of x/(cos^2(4x^2+1/a))

\int \frac{x}{cos ^{2} ( 4 x ^{2} + \frac{1}{a} )} d x

integral of (3t)/(2t^2+5t+2)

\int \frac{3 t}{2 t ^{2} + 5 t + 2} d t

integral of (-2x^2+x-2)/(x^5+2x^3+x)

\int \frac{- 2 x ^{2} + x - 2}{x ^{5} + 2 x ^{3} + x} d x

integral of e^{5θ}sin(6θ)

\int e^{5 θ} sin (6 θ) d θ

integral of (-3x^{-2}+2x+4)

\int (- 3 x^{- 2} + 2 x + 4) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^5y^3 ?
The integral of 3x^5y^3 is (3x^5y^4)/4+C