Please help me solve this integral

s8.aayush

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May 17, 2018
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32191069_10155769066827734_6684446413822099456_n.jpgIn this both x and y are functions of t.
I tried integration by parts, doesn't work. It keeps giving another integral again and again.
I've been doing hit and trial to figure out what it could be but its been too difficult a task.
 
What were the results of your Integration by Parts?
 
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