Evaluate the integral. ∫ 1/(x*(√(7-x^2))) dx?
This is one of my practice problems, and I have done it many times and still can't get it right. Could you write out the steps and final answer? Thank you so much!
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∫ 1/(x*(√(7-x^2)))
First. (7-x^2)
-7x^2
Then. √(7-x^2)
-7x^2i
Then X*(-7x^2i
-7x*^2x*I
Then 1/(-7x*^2x*I)
-.14x*^.5x*I
Then (-.14x*^.5x*i)dx
-.14dx^.5dx^*I
Then -.14dx^.5dx^*I
-.07d^x^^*I
Final answer: -.07d^x^^*i
Then