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Popular >

integral of 2ycos(x)

Solution

\int 2 y cos (x) d y

Solution

y^{2} cos (x) + C

Solution steps

\int 2 y cos (x) d y

Take the constant out:

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

= 2 cos (x) \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 2 cos (x) \frac{y ^{2}}{2}

Simplify

2 cos (x) \frac{y ^{2}}{2} : y^{2} cos (x)

= y^{2} cos (x)

Add a constant to the solution

= y^{2} cos (x) + C

Graph

Popular Examples

integral of (x^2)/(sqrt((1+x^2)^3))

\int \frac{x ^{2}}{( 1 + x ^{2} ) ^{3}} d x

integral of 7-3x

\int 7 - 3 x d x

integral of (8x^3-9x+7)/(x^3-x^2)

\int \frac{8 x ^{3} - 9 x + 7}{x ^{3} - x ^{2}} d x

integral of (x+1)/(sqrt(3+4x-4x^2))

\int \frac{x + 1}{3 + 4 x - 4 x ^{2}} d x

integral of (e^x+1/(5x))

\int (e^{x} + \frac{1}{5 x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 2ycos(x) ?
The integral of 2ycos(x) is y^2cos(x)+C