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Popular >

integral of 2-sin(x)

Solution

\int 2 - sin (x) d x

Solution

2 x + cos (x) + C

Solution steps

\int 2 - 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 2 d x - \int sin (x) d x

\int 2 d x = 2 x

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

= 2 x - (- cos (x))

Simplify

= 2 x + cos (x)

Add a constant to the solution

= 2 x + cos (x) + C

Graph

Popular Examples

integral of e^{6x+3}

\int e^{6 x + 3} d x

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

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

integral of xe^{x^2}cos(e^{x^2})

\int x e^{x^{2}} cos (e^{x^{2}}) d x

integral of 2/(sqrt(3x^2-6x+18))

\int \frac{2}{3 x ^{2} - 6 x + 18} d x

integral of 3x^4-5sqrt(x)+1

\int 3 x^{4} - 5 x + 1 d x

Frequently Asked Questions (FAQ)

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