5. If fvr² - 25 5. If [ Vx? - 25 dx is transformed by trigonometric substitution, then it will be changed to A. 25 tan? esecede B. 25[tanesec ede C. 25[tanesecede D. 4[tan ede

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A: 10)

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Since you have submitted two questions, we'll answer the first question. For the second question…

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A: Since you have posted multiple sub-parts. We will solve the first three for you. Kindly repost the…

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A: Here we have to integrate by the trigonometric substitution.  I=∫x3x2-1dx

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A: Explanation of the answer is as follows

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A: To solve the following

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A:

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A: We will use standard formulae of trigonometry.

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Q: Compute without using a calculator.

A: Explanation: We know that,  cosx=sinπ2-x Now  cos3π2=sinπ2-3π2              =sin(-π)…

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A: Here, the given expression is: sin θ+(cot θ)(cos θ)

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A: Introduction :

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A: y=cos2x43x-13x+x2

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