Integral of -ycosx dx

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

Integral((-y)*cos(x), (x, 0, 1))

Detail solution

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

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

$- y \sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- y \sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

Simplify

The answer [src]

-y*sin(1)

$$- y \sin{\left(1 \right)}$$

-y*sin(1)

$$- y \sin{\left(1 \right)}$$

Упростить

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