To solve this problem, you need to approach this question just like a definite integral question. Here is how I would solve this:
By finding the antiderivative of the integrand, the result would be 0.5x^2 + 7cotx from pi/6 to pi/2. Now, knowing the result of solving the integral and the lower and upper bounds, we are able to find the final answer.
Hi,
Thank you for your question.
To solve this problem, you need to approach this question just like a definite integral question. Here is how I would solve this:
By finding the antiderivative of the integrand, the result would be 0.5x^2 + 7cotx from pi/6 to pi/2. Now, knowing the result of solving the integral and the lower and upper bounds, we are able to find the final answer.
= [0.5*(pi/2)^2 + 7cot(pi/2)] - [0.5*(pi/6)^2 - 7cot(pi/6)]
= [(pi^2)/8 + 0] - [(pi^2)/72 - 7sqrt(3)]
= (pi^2)/8 - (pi^2)/72 + 7sqrt(3)
= (pi^2)/9 + 7sqrt(3).
Therefore, the answer to this integral is (pi^2)/9 + 7sqrt(3).
Does this answer your question?