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Popular >

integral of sin(x)+9

Solution

\int sin (x) + 9 d x

Solution

- cos (x) + 9 x + C

Solution steps

\int sin (x) + 9 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int sin (x) d x + \int 9 d x

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

\int 9 d x = 9 x

= - cos (x) + 9 x

Add a constant to the solution

= - cos (x) + 9 x + C

Popular Examples

area y=x,y=5x,y=-x+2 area

y = x, y = 5 x, y = - x + 2

integral from 0 to 2 of x^3-x^2

\int_{0}^{2} x^{3} - x^{2} d x

integral of 5arctan(2y)

\int 5 arctan (2 y) d y

(\partial)/(\partial x)(ln(2+x^2+2y^2))

\frac{\partial}{\partial x} (ln (2 + x^{2} + 2 y^{2}))

integral of-1/4

\int - \frac{1}{4} d x

Frequently Asked Questions (FAQ)

What is the integral of sin(x)+9 ?
The integral of sin(x)+9 is -cos(x)+9x+C