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Popular >

integral of 1-cos(x)

Solution

\int 1 - cos (x) d x

Solution

x - sin (x) + C

Solution steps

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

\int 1 d x = x

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

= x - sin (x)

Add a constant to the solution

= x - sin (x) + C

Popular Examples

derivative of f(x)=(x^3)/(6x-3)derivative of

f (x) = \frac{x ^{3}}{6 x - 3}

limit as x approaches 3+of (2+x)/(3-x)

x \to 3 + lim (\frac{2 + x}{3 - x})

(dy)/(dt)=(t^2+ty+y^2)/(t^2)

\frac{d y}{d t} = \frac{t ^{2} + t y + y ^{2}}{t ^{2}}

sum from n=0 to infinity of n(n+1)

n = 0 \sum \infty n (n + 1)

integral from 4 to 9 of 1/(x^2-1)

\int_{4}^{9} \frac{1}{x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

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