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Popular >

integral of 2+cos(x)

Solution

\int 2 + cos (x) d x

Solution

2 x + sin (x) + C

Solution steps

\int 2 + 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 2 d x + \int cos (x) d x

\int 2 d x = 2 x

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

= 2 x + sin (x)

Add a constant to the solution

= 2 x + sin (x) + C

Popular Examples

limit as x approaches 2 of 3x^2-7x+5

x \to 2 lim (3 x^{2} - 7 x + 5)

integral of sec^4(3x)

\int sec^{4} (3 x) d x

integral from-3 to 3 of 1/(sqrt(9-x^2))

\int_{- 3}^{3} \frac{1}{9 - x ^{2}} d x

integral from 0 to 5 of (6t)/((t-6)^2)

\int_{0}^{5} \frac{6 t}{( t - 6 ) ^{2}} d t

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

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

Frequently Asked Questions (FAQ)

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