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Popular Calculus >

integral of 2ysin(z)

Solution

\int 2 y sin (z) d y

Solution

y^{2} sin (z) + C

Solution steps

\int 2 y sin (z) d y

Take the constant out:

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

= 2 sin (z) \cdot \int y d y

Apply the Power Rule

= 2 sin (z) \frac{y ^{2}}{2}

Simplify

2 sin (z) \frac{y ^{2}}{2} : y^{2} sin (z)

= y^{2} sin (z)

Add a constant to the solution

= y^{2} sin (z) + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 2ysin(z) ?
The integral of 2ysin(z) is y^2sin(z)+C