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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

inverse oflaplace (s+1)/(s^2(s+2))inverse laplace

\frac{s + 1}{s ^{2} ( s + 2 )}

(d^2y)/(dx^2)=y

\frac{d ^{2} y}{d x ^{2}} = y

integral of-cos(x)ln(x)

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

integral of x/(sqrt((36-x^2)^3))

\int \frac{x}{( 36 - x ^{2} ) ^{3}} d x

limit as x approaches infinity of 1+x^2

x \to \infty lim (1 + x^{2})

Frequently Asked Questions (FAQ)

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