What is the integral of 5sin(6pi)x ?

The integral of 5sin(6pi)x is C

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integral of 5sin(6pi)x

\int 5 sin (6 π) x d x

C

Solution steps

\int 5 sin (6 π) x d x

5 sin (6 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

\int 6 e^{- 0.2 x} d x

sin (3 x), 0

12 (t + 1) (\frac{d y}{d t}) - 8 y = 32 t, y (0) = 2

y = \frac{1}{t ^{3} + 2 t ^{2} - 1}

x = - 5, x = 1, y = 3 x, y = x^{2} - 4