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Popular >

integral of 3y^5

Solution

\int 3 y^{5} d y

Solution

\frac{y ^{6}}{2} + C

Solution steps

\int 3 y^{5} d y

Take the constant out:

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

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

Apply the Power Rule

: \frac{y ^{6}}{6}

= 3 \cdot \frac{y ^{6}}{6}

Simplify

3 \cdot \frac{y ^{6}}{6} : \frac{y ^{6}}{2}

= \frac{y ^{6}}{2}

Add a constant to the solution

= \frac{y ^{6}}{2} + C

Popular Examples

integral from-a to a of f(x)

\int_{- a}^{a} f (x) d x

derivative of x^5+37x

\frac{d}{d x} (x^{5} + 37 x)

limit as x approaches 0 of 1/(1-cos(x))

x \to 0 lim (\frac{1}{1 - cos ( x )})

integral of e^{-x^2+3x}

\int e^{- x^{2} + 3 x} d x

laplacetransform e^{-5t}laplace transform

e^{- 5 t}

Frequently Asked Questions (FAQ)

What is the integral of 3y^5 ?
The integral of 3y^5 is (y^6)/2+C