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Popular >

integral of 4x^3y

Solution

\int 4 x^{3} y d x

Solution

y x^{4} + C

Solution steps

\int 4 x^{3} y d x

Take the constant out:

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

= 4 y \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

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

Simplify

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

= y x^{4}

Add a constant to the solution

= y x^{4} + C

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\int \frac{1 + ln ( x )}{( x ln ( x ) )} d x

integral of (x^2)/(x^3-8)

\int \frac{x ^{2}}{x ^{3} - 8} d x

integral of (x^9)/(x^5+5)

\int \frac{x ^{9}}{x ^{5} + 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^3y ?
The integral of 4x^3y is yx^4+C