Calculus chapter7 (Transcendental Functions)
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1)

2)

3)

Step-by-step explanation:

1)

This integral can be solved easily by using algebraic substitutions:

,

Then, the integral can rewritten as follows:

Where is the integration constant.

2) Let be , then we obtain the expression by the definition of the derivative for the inverse hyperbolic cosine and the chain rule:

3)

This integral can be solved by the following trigonometric substitutions:

Where is the integration constant.

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