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

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

\frac{d}{d x} (x^{3} + 3 x^{2} - 9 x + 7)

\int arcsin (3 x) d x

\int csc^{3} (5 x) d x

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