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

The integral of sin(3x+2) is -1/3 cos(3x+2)+C

Popular >

integral of sin(3x+2)

\int sin (3 x + 2) d x

- \frac{1}{3} cos (3 x + 2) + C

Solution steps

\int sin (3 x + 2) d x

Apply u-substitution

: \int sin (u) \frac{1}{3} d u

= \int sin (u) \frac{1}{3} d u

Take the constant out:

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

= \frac{1}{3} \cdot \int sin (u) d u

Use the common integral:

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

= \frac{1}{3} (- cos (u))

Substitute back

u = 3 x + 2

= \frac{1}{3} (- cos (3 x + 2))

Simplify

= - \frac{1}{3} cos (3 x + 2)

Add a constant to the solution

= - \frac{1}{3} cos (3 x + 2) + C

y = 4 x cos (x), at x = π

\int \frac{1}{csc ^{2} ( x )} d x

(2.1) (8.7)

\frac{\partial}{\partial x} (sin (3 x - 2 y))

\frac{d}{d x} (ln (x^{2} - x))

What is the integral of sin(3x+2) ?
The integral of sin(3x+2) is -1/3 cos(3x+2)+C