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Popular >

integral of 6+sin(x)

Solution

\int 6 + sin (x) d x

Solution

6 x - cos (x) + C

Solution steps

\int 6 + sin (x) 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 6 d x + \int sin (x) d x

\int 6 d x = 6 x

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

= 6 x - cos (x)

Add a constant to the solution

= 6 x - cos (x) + C

Graph

Popular Examples

integral of y^{-1}+2/x

\int y^{- 1} + \frac{2}{x} d x

integral of rsqrt(36-r^2)

\int r 36 - r^{2} d r

integral of sqrt(2-y)

\int 2 - y d y

integral of (x+3)/(x^2+2x-5)

\int \frac{x + 3}{x ^{2} + 2 x - 5} d x

integral of (x^3)/(12)

\int \frac{x ^{3}}{12} d x

Frequently Asked Questions (FAQ)

What is the integral of 6+sin(x) ?
The integral of 6+sin(x) is 6x-cos(x)+C