积分 3sinxdx dx

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 pi            
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$$\int\limits_{0}^{\pi} 3 \sin{\left(x \right)}\, dx$$

Integral(3*sin(x), (x, 0, pi))

Detail solution

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

$\int 3 \sin{\left(x \right)}\, dx = 3 \int \sin{\left(x \right)}\, dx$
1. The integral of sine is negative cosine:
  
  $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
So, the result is: $- 3 \cos{\left(x \right)}$
Add the constant of integration:

$- 3 \cos{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- 3 \cos{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | 3*sin(x) dx = C - 3*cos(x)
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$$\int 3 \sin{\left(x \right)}\, dx = C - 3 \cos{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$6$$

Numerical answer [src]

6.0

6.0

这些示例也可用于输入定积分的上下限.