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Popular >

integral of sin(x)+C

Solution

\int sin (x) + C d x

Solution

- cos (x) + C x + C

Solution steps

\int sin (x) + C 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 C d x

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

\int C d x = C x

= - cos (x) + C x

Add a constant to the solution

= - cos (x) + C x + C

Popular Examples

integral of e^{8+x}

\int e^{8 + x} d x

integral from 1 to 3 of (2x^2-3x+5)

\int_{1}^{3} (2 x^{2} - 3 x + 5) d x

derivative of e^{13t}sin(t)derivative of

e^{13 t} sin (t)

x(dy)/(dx)+y=6x+1,y(1)=9

x \frac{d y}{d x} + y = 6 x + 1, y (1) = 9

derivative of 4sec(x-5x)

\frac{d}{d x} (4 sec (x) - 5 x)

Frequently Asked Questions (FAQ)

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