Chapter 7.2, Problem 33E

How to identify if the problem is integration resulting to inverse trigo. or trigo. substitution. Give examples. (Integral)

Please help me and show all your work Please write clearly

Integral Calculus

Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this factorization to evaluate / 1/ | 1/ (x *+ 1) dx.

Evaluate the indefinite integral. *Please use handwriting not typing, I understand it better that way, thank you*

Original Integral Rewrite Integrate Simplify 9. dx 9. dx 9. + C (4x)5 1024 1024

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Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4)        (b) ∫dx/x√(x2 − 9)

How do you evaluate using definite integral?