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Popular >

integral of sin(x)+5

Solution

\int sin (x) + 5 d x

Solution

- cos (x) + 5 x + C

Solution steps

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

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

\int 5 d x = 5 x

= - cos (x) + 5 x

Add a constant to the solution

= - cos (x) + 5 x + C

Graph

Popular Examples

integral of (ln(x))/(16)

\int \frac{ln ( x )}{16} d x

derivative of (3-4xe^{-2x^2})

\frac{d}{d x} ((3 - 4 x) e^{- 2 x^{2}})

derivative of (x^3-3x^2+4x-5/(x^2))

\frac{d}{d x} (\frac{x ^{3} - 3 x ^{2} + 4 x - 5}{x ^{2}})

limit as x approaches-infinity of 8^x

x \to - \infty lim (8^{x})

limit as n approaches infinity of (((n+1)^3))/(5^{n+1)}

n \to \infty lim \frac{( ( n + 1 ) ^{3} )}{5 ^{n + 1}}

Frequently Asked Questions (FAQ)

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