What is the integral of sin(7x+1) ?

The integral of sin(7x+1) is -1/7 cos(7x+1)+C

Popular >

integral of sin(7x+1)

\int sin (7 x + 1) d x

- \frac{1}{7} cos (7 x + 1) + C

Solution steps

\int sin (7 x + 1) d x

Apply u-substitution

: \int sin (u) \frac{1}{7} d u

= \int sin (u) \frac{1}{7} d u

Take the constant out:

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

= \frac{1}{7} \cdot \int sin (u) d u

Use the common integral:

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

= \frac{1}{7} (- cos (u))

Substitute back

u = 7 x + 1

= \frac{1}{7} (- cos (7 x + 1))

Simplify

= - \frac{1}{7} cos (7 x + 1)

Add a constant to the solution

= - \frac{1}{7} cos (7 x + 1) + C

\frac{\partial}{\partial y} (e^{- 2 x} cos (4 y))

- \frac{7}{( x - 7 ) ^{2}}

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

4 x^{2} + 9

\int (7 x + cos (x)) d x

What is the integral of sin(7x+1) ?
The integral of sin(7x+1) is -1/7 cos(7x+1)+C