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Popular >

integral of 6+cos(x)

Solution

\int 6 + cos (x) d x

Solution

6 x + sin (x) + C

Solution steps

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

\int 6 d x = 6 x

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

= 6 x + sin (x)

Add a constant to the solution

= 6 x + sin (x) + C

Popular Examples

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

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

integral of 1/(9x+8)

\int \frac{1}{9 x + 8} d x

integral of 36x^2(216x^3+1)^{12}

\int 36 x^{2} (216 x^{3} + 1)^{12} d x

integral of (3x+8)/(x^2+6x+14)

\int \frac{3 x + 8}{x ^{2} + 6 x + 14} d x

integral of x^5ln(4x^3)

\int x^{5} ln (4 x^{3}) d x

Frequently Asked Questions (FAQ)

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