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

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

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integral of-3sin(x)

\int - 3 sin (x) d 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

x (x^{2} + 1)^{10}

\int_{1}^{5} (x - 3) d x

\frac{1}{t ^{2} + 6 t - 2}

\frac{d}{d x} (x^{4} + 3 x^{2} - 6)

x \to 0 lim (\frac{5 x}{x ^{2} + 5 x})