Integral of d(sinx) dx

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$$\int\limits_{0}^{1} d \sin{\left(x \right)}\, dx$$

Integral(d*sin(x), (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int d \sin{\left(x \right)}\, dx = d \int \sin{\left(x \right)}\, dx$
1. The integral of sine is negative cosine:
  
  $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
So, the result is: $- d \cos{\left(x \right)}$
Add the constant of integration:

$- d \cos{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- d \cos{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | d*sin(x) dx = C - d*cos(x)
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$$\int d \sin{\left(x \right)}\, dx = C - d \cos{\left(x \right)}$$

Simplify

The answer [src]

d - d*cos(1)

$$- d \cos{\left(1 \right)} + d$$

d - d*cos(1)

$$- d \cos{\left(1 \right)} + d$$

d - d*cos(1)

Use the examples entering the upper and lower limits of integration.