question for the definite integral given belo...
question for the definite integral given below, identify the integrand, the limits of integration, and the variable of integration. ∫8e7π6sin(6y)ydy provide your answer below: the integrand is , the lower bound is , the upper bound is , and the variable of integration is .
Answer
# Explanation:
## Step1: Identify the integrand
The integrand is the function being integrated. In $\int_{8e}^{7\pi}\frac{6\sin(6y)}{y}dy$, the integrand is $\frac{6\sin(6y)}{y}$.
## Step2: Identify the lower - bound
The lower - bound of integration is the number at the bottom of the integral symbol. Here, it is $8e$.
## Step3: Identify the upper - bound
The upper - bound of integration is the number at the top of the integral symbol. Here, it is $7\pi$.
## Step4: Identify the variable of integration
The variable of integration is the variable next to the $d$ in the integral. Here, it is $y$.
# Answer:
The integrand is $\frac{6\sin(6y)}{y}$, the lower bound is $8e$, the upper bound is $7\pi$, and the variable of integration is $y$.