SOLUTION: Please show me how to solve this integral: INT(sqrt(90^2+(x-60)^2)dx)

SOLUTION: Please show me how to solve this integral: INT(sqrt(90^2+(x-60)^2)dx)

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Question 913173: Please show me how to solve this integral: INT(sqrt(90^2+(x-60)^2)dx)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
We need to use a trigonometric substitution to integrate.
Let's set up a right triangle.

Then from the diagram,

From the diagram,

Integrating both sides,

So now substituting,

You can look up this integration,

Reverting back to the diagram,

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