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Popular >

integral of 2xsin(y)

Solution

\int 2 x sin (y) d x

Solution

x^{2} sin (y) + C

Solution steps

\int 2 x sin (y) d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Simplify

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

= x^{2} sin (y)

Add a constant to the solution

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

Popular Examples

integral of (1+cos(2x))^3

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

integral of (4x^2)/(x^2-1)

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

integral of sin(x/6)

\int sin (\frac{x}{6}) d x

integral of (x-3)(6x+4)

\int (x - 3) (6 x + 4) d x

integral of (-6h+1)/(6h^2-5h+1)

\int \frac{- 6 h + 1}{6 h ^{2} - 5 h + 1} d h

Frequently Asked Questions (FAQ)

What is the integral of 2xsin(y) ?
The integral of 2xsin(y) is x^2sin(y)+C