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Popular >

integral of sin(x)+1

Solution

\int sin (x) + 1 d x

Solution

- cos (x) + x + C

Solution steps

\int sin (x) + 1 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 1 d x

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

\int 1 d x = x

= - cos (x) + x

Add a constant to the solution

= - cos (x) + x + C

Popular Examples

derivative of ln(cosx)

\frac{d}{d x} (ln (c) os x)

(dx)/(dt)=6xt^4

\frac{d x}{d t} = 6 x t^{4}

derivative of x^2-16ln(x^2)

\frac{d}{d x} (x^{2} - 16 ln (x^{2}))

derivative of f(x)=10x-12+(27)/(x^4)derivative of

f (x) = 10 x - 12 + \frac{27}{x ^{4}}

laplacetransform te^{-4t}laplace transform

t e^{- 4 t}

Frequently Asked Questions (FAQ)

What is the integral of sin(x)+1 ?
The integral of sin(x)+1 is -cos(x)+x+C