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Popular >

integral of cos(x)+5

Solution

\int cos (x) + 5 d x

Solution

sin (x) + 5 x + C

Solution steps

\int cos (x) + 5 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 cos (x) d x + \int 5 d x

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

\int 5 d x = 5 x

= sin (x) + 5 x

Add a constant to the solution

= sin (x) + 5 x + C

Popular Examples

integral of (200+t)^2

\int (200 + t)^{2} d t

integral of (u^2)/((9-u^2)^{3/2)}

\int \frac{u ^{2}}{( 9 - u ^{2} ) ^{\frac{3}{2}}} d u

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

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

integral of 2xcos(y)-ycos(x)

\int 2 x cos (y) - y cos (x) d x

integral of sqrt((5x)/2)

\int \frac{5 x}{2} d x

Frequently Asked Questions (FAQ)

What is the integral of cos(x)+5 ?
The integral of cos(x)+5 is sin(x)+5x+C