Ram prasath Asked a Question
June 2, 2021 8:44 ampts 30 pts
t/2 sin x cosx Ex. dx equals coss X +3 cosx +2 Sol. Put cos x = t, then tdt tdt F3t+2t1(t+2) nc =[2 log (t+2)- log(t+ 1)] =2 log 3-log 2-2log 2+ log1 = log (9/8) : friends in question there is 0 and pi by 2 limited but in answer it changed in to 0 and 1 . how?
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  • Avijeet banerjee
    by using a property of definite integral ,limits are interchanged
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  • Avijeet banerjee Best Answer
    answer is given in the attachment.
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    Ram prasath
    thanks bro. could u please explain how the (t dt) became 2(t+1) - (t+2)
  • Durga madhab jani
    Now limit become 0 to 1
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    Ram prasath
    but the lower limit is 0 so isn't it supposed to be 1
  • Durga madhab jani thankyou
    cos 0= 1
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  • Durga madhab jani
    i.e cos(π/2)=0
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  • Durga madhab jani thankyou
    when we change the cosine function into a variable then limit also changed
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