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Popular >

integral of 1-sin(x)

Solution

\int 1 - sin (x) d x

Solution

x + cos (x) + C

Solution steps

\int 1 - sin (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 1 d x - \int sin (x) d x

\int 1 d x = x

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

= x - (- cos (x))

Simplify

= x + cos (x)

Add a constant to the solution

= x + cos (x) + C

Popular Examples

integral from 1 to 3 of x^2-4x+3

\int_{1}^{3} x^{2} - 4 x + 3 d x

f(x)=e^x+sin(x)

f (x) = e^{x} + sin (x)

derivative of (2x/y)

\frac{d}{d x} (\frac{2 x}{y})

derivative of f(x)=1+sin(x)derivative of

f (x) = 1 + sin (x)

derivative of (2x/(sqrt(x^2+2)))

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

Frequently Asked Questions (FAQ)

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