Convergence and calculation of the integral

loomi_nati

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Teacher indicated that we should replace the x with a*sint but then the integral becomes a*sint/(asin*t+1) which is unsolvable I think.
 

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Teacher indicated that we should replace the x with a*sint but then the integral becomes a*sint/(asin*t+1) which is unsolvable I think.
Not correct - if you did the algebra correctly.

Please show your work after substitution- step-by-step.
 
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