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Popular Calculus >

integral of 3+cos(x)

Solution

\int 3 + cos (x) d x

Solution

3 x + sin (x) + C

Solution steps

\int 3 + 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 3 d x + \int cos (x) d x

\int 3 d x = 3 x

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

= 3 x + sin (x)

Add a constant to the solution

= 3 x + sin (x) + C

Graph

Popular Examples

integral of 1/(x-3x^2)

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

integral of 1/(x(ln(x))^k)

\int \frac{1}{x ( ln ( x ) ) ^{k}} d x

integral of sqrt(x^3)ln(x)

\int x^{3} ln (x) d x

integral of 1/(25+y^2)

\int \frac{1}{25 + y ^{2}} d y

integral of (sin(2t))/(cos^2(2t))

\int \frac{sin ( 2 t )}{cos ^{2} ( 2 t )} d t

Frequently Asked Questions (FAQ)

What is the integral of 3+cos(x) ?
The integral of 3+cos(x) is 3x+sin(x)+C