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Can someone check if I did this integral right? I knew the answer to the integral so I do not know if every step along the way is right or if I did because I knew what had to come out in the end.

Mathematics
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Here is the integral and what I did to it.
1 Attachment
looks right!!
for these stuf ... just plugin into W|A .. probably it also gives step for you.

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Other answers:

I was not sure about the last step, where I drew the triangle. Substituting the cos(arcsinx) with the squareroot of 1-x^2. First time I did such a substitution and since I knew the answer. Thx for checking it. I really appreciate it.
W|A they are also becoming money lechers now you can view just three step by step solutions and even for that you have to have registered account .. that's the reason integral stuff is getting increase on OS !
really?
yes give it a try .
haha lol !!!! yeah thats why i love it too ;)
If you make an (free) account I think you can get a step by step solution for three euqations per day.
yes but people used to get 50 + solution per day ..
haha ... i don't need step by step solution ... if i have final answer ... I'll just differentiate it and reverse engineer and connect to solution. If i go back ... I've the step by step solution. for final answer I've got bunch of pirate stuff. :P
that's i use sometime Engineers always think same way :P
lol ... I'm physicist @sami-21 ... but i knew you were engineer :D
lol physicist are engineers brothers :)
hahah ... agreed!!

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