What is the integral of pisin(x) ?

The integral of pisin(x) is -picos(x)+C

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integral of pisin(x)

\int π sin (x) d x

- π cos (x) + C

Solution steps

\int π sin (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= π (- cos (x))

Simplify

= - π cos (x)

Add a constant to the solution

= - π cos (x) + C

x \to 6 + lim (x - 6)

\frac{d}{d x} (\frac{x ^{2}}{x})

x \to 1.9 lim (- x^{2} + 5 x - 2)

x \to - 5 lim (\frac{- 6 x}{x + 5})