trigonometric substitution

label Calculus
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schedule 1 Day
account_balance_wallet $5

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

Dividing both sides of the initial equation by 3x and multiplying both sides by dx gives the equation:

dy = (sqrt(x^2-25)/(3x))dx

This equation can be integrated leaving the equation:

y = (1/9)(sqrt(x^2-25)^(3/2)) + C.

Plugging in the point (5,3) means C = 3 so the final answer is:

y = (1/9)(sqrt(x^2-25)^(3/2)) + 3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

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