What is the integral of 3/2 sin(x) ?

The integral of 3/2 sin(x) is -3/2 cos(x)+C

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integral of 3/2 sin(x)

\int \frac{3}{2} sin (x) d x

- \frac{3}{2} cos (x) + C

Solution steps

\int \frac{3}{2} sin (x) d x

Take the constant out:

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

= \frac{3}{2} \cdot \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= \frac{3}{2} (- cos (x))

Simplify

= - \frac{3}{2} cos (x)

Add a constant to the solution

= - \frac{3}{2} cos (x) + C

y = 40 (x^{2} - 2 x)

f (x) = 2 x^{2} - 5 x + 3, at a = 1

\frac{d}{d x} ((y^{2} + x^{2}) e^{y^{2} - x^{2}})

\frac{d}{d x} (- 20 x^{3} + 12 x^{2} - 20)

\frac{d}{d x} (arctan (\frac{5 x}{4}))

What is the integral of 3/2 sin(x) ?
The integral of 3/2 sin(x) is -3/2 cos(x)+C