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Solving integrals/ 1-sinx

Integral of 1-sinx dx

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

Integral(1 - sin(x), (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- \sin{\left(x \right)}\right)\, dx = - \int \sin{\left(x \right)}\, dx$
  1. The integral of sine is negative cosine:
    
    $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
  So, the result is: $\cos{\left(x \right)}$
The result is: $x + \cos{\left(x \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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 | (1 - sin(x)) dx = C + x + cos(x)
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$$\int \left(1 - \sin{\left(x \right)}\right)\, dx = C + x + \cos{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

cos(1)

$$\cos{\left(1 \right)}$$

cos(1)

$$\cos{\left(1 \right)}$$

Упростить

Numerical answer [src]

0.54030230586814

0.54030230586814

The graph

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