Integral of 100sin(x) dx

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 |  100*sin(x) dx
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$$\int\limits_{0}^{1} 100 \sin{\left(x \right)}\, dx$$

Simplify

Detail solution

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

$\int 100 \sin{\left(x \right)}\, dx = 100 \int \sin{\left(x \right)}\, dx$
1. The integral of sine is negative cosine:
  
  $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
So, the result is: $- 100 \cos{\left(x \right)}$
Add the constant of integration:

$- 100 \cos{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- 100 \cos{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | 100*sin(x) dx = C - 100*cos(x)
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$$-100\,\cos x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

100 - 100*cos(1)

$$100\,\left(1-\cos 1\right)$$

100 - 100*cos(1)

$$- 100 \cos{\left(1 \right)} + 100$$

Simplify

Numerical answer [src]

45.969769413186

45.969769413186

The graph

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