What is the integral of sin(pi)xcos(pi)x ?

The integral of sin(pi)xcos(pi)x is C

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integral of sin(pi)xcos(pi)x

\int sin (π) x cos (π) x d x

C

Solution steps

\int sin (π) x cos (π) x d x

sin (π) x cos (π) x = 0

= \int 0 d x

Integral of a constant:

\int a d x = a x

= 0 \cdot x

Simplify

= 0

Add a constant to the solution

= 0 + C

= C

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

\int \frac{3 x ^{2}}{x ^{2} + 1} d x

\frac{d y}{d x} - \frac{1}{x} y = 4

\frac{d}{d t} (e^{- t^{2}})

f (t) = t^{9} sin (t)

What is the integral of sin(pi)xcos(pi)x ?
The integral of sin(pi)xcos(pi)x is C