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1.) Using the method we used in class show that d/dx * (sinh-1 (x)) = 1/sqrt(1+x

ID: 2978135 • Letter: 1

Question

1.) Using the method we used in class show that d/dx * (sinh-1 (x)) = 1/sqrt(1+x^2) b.) By differentiating the right hand side, show that the following integral formula is true: indefinite integral---du/(sqrt(a^2+u^2)=sinh^-1 (u/a)+C a>0 2.)Evaluate: integral 0 to 3 of dx/(sqrt(16+x^2)) in TWO ways: (a)Using the formula from above and (b) Using trigonometric substitution When answering both question please show ALL STEPS-NO OMISSIONS. Will rate five stars for most steps and correct answer. Will check answer with Wolfram's. Thank you.

Explanation / Answer


(1)

f(x) = (sinh^-1x) this is equal to = log(sqrt(x

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