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Popular >

integral of cos(x)-1

Solution

\int cos (x) - 1 d x

Solution

sin (x) - x + C

Solution steps

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

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

\int 1 d x = x

= sin (x) - x

Add a constant to the solution

= sin (x) - x + C

Graph

Popular Examples

tangent of f(x)=2xe^x,\at x=0 tangent of

f (x) = 2 x e^{x}, at x = 0

(\partial)/(\partial x)(4ln(xy)+3ln(yz)+ln(xz))

\frac{\partial}{\partial x} (4 ln (x y) + 3 ln (yz) + ln (x z))

area x=y^2-4y,x=y-y^2 area

x = y^{2} - 4 y, x = y - y^{2}

2y^{''}-15y^'-8y=0

2 y^{^{''}} - 15 y^{^{'}} - 8 y = 0

integral from-1 to 1 of x-sqrt(1-x^2)

\int_{- 1}^{1} x - 1 - x^{2} d x

Frequently Asked Questions (FAQ)

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