What is the integral of-3sin(x) ?

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

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integral of-3sin(x)

integral

- 3 sin (x)

3 cos (x) + C

Solution steps

\int - 3 sin (x) d x

Take the constant out:

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

= - 3 \cdot \int sin (x) d x

Use the common integral:

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

= - 3 (- cos (x))

Simplify

= 3 cos (x)

Add a constant to the solution

= 3 cos (x) + C

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

\frac{2 x + 6}{x ^{2} + 6 x - 3}

(e^{x})^{2} x^{2}

\frac{x ^{2}}{4 - x ^{2}}

\frac{1}{( 100 + x ^{2} )}