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Integrate each of the given functions.$$\int \frac{0.3 d s}{\sqrt{2 s-s^{2}}}$$

$0.3 \sin ^{-1}(s-1)+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 6

Inverse Trigonometric Forms

Integrals

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

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we want to integrate the following expression. The integral of 0.3 Ds over route to s minus X squared. Or as I've written on the right edge grill of route three Ds Or rather 30.3 Ds over route one minus x minus one square. This question is testing our knowledge of integration techniques and single variable calculus in particular is testing our newfound knowledge of inverse trig integral on the left. One integral. Do you over a squared minus u squared? Is arsenio april see on the right to integral to you over a squared plus b squared is one of our our changing over a policy. Thus we see are integral cause it has a square root in the denominator is of the form one, which means Saw, we must now figure out what you do you and they are the way I've written on the right and it's easy to see that you is that's minus one, do you? And DS. And a point is it is one that should be an extra factor of 10.3 and are integral must carry over to the solution, which means we have solution 0.3 integral DS over one minus x minus one squared is three Or rather .3 times the arc tangent. Already arc sine I was at minus one plus E. That is our solution is boxed here are highlighted .3 Arc sine -1, S -1 Plus C.

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