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Popular >

integral of 4+cos(x)

Solution

\int 4 + cos (x) d x

Solution

4 x + sin (x) + C

Solution steps

\int 4 + cos (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 4 d x + \int cos (x) d x

\int 4 d x = 4 x

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

= 4 x + sin (x)

Add a constant to the solution

= 4 x + sin (x) + C

Graph

Popular Examples

integral of 0 integral

0

integral of (4x+1)/(x(x+1)^2)

\int \frac{4 x + 1}{x ( x + 1 ) ^{2}} d x

integral of (5x-1)

\int (5 x - 1) d x

integral of 1/(v^2+3v+2)

\int \frac{1}{v ^{2} + 3 v + 2} d v

integral of 1/(x^3+2x^2-5x-6)

\int \frac{1}{x ^{3} + 2 x ^{2} - 5 x - 6} d x

Frequently Asked Questions (FAQ)

What is the integral of 4+cos(x) ?
The integral of 4+cos(x) is 4x+sin(x)+C