What is the integral of 4sin(h)(2x) ?

The integral of 4sin(h)(2x) is 4x^2sin(h)+C

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integral of 4sin(h)(2x)

\int 4 sin (h) (2 x) d x

4 x^{2} sin (h) + C

Solution steps

\int 4 sin (h) \cdot 2 x d x

Take the constant out:

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

= 4 sin (h) \cdot 2 \cdot \int x d x

Simplify

= 8 sin (h) \cdot \int x d x

Apply the Power Rule

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

= 8 sin (h) \frac{x ^{2}}{2}

Simplify

8 sin (h) \frac{x ^{2}}{2} : 4 x^{2} sin (h)

= 4 x^{2} sin (h)

Add a constant to the solution

= 4 x^{2} sin (h) + C

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What is the integral of 4sin(h)(2x) ?
The integral of 4sin(h)(2x) is 4x^2sin(h)+C