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pawan deep Grade: Upto college level
        



what will be its answer .....


its a bit confusing one....


 ∫(Sin X2)2.(CosX2)dx



6 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear Pawan deep,


Ans:- f(x)=∫(sinX²)²(cosX²)²dx


             =1/4∫(sin2X²)²dx


               =1/16∫(1 - cos4X²)²dx


                =1/16∫(1 - 2cos4X²+ cos²4X²)dx


                =1/16∫(3/2 - 2cos4X² +1/2cos8X²)


                  =3/32 X -1/8∫cos4X²dx +1/16 ∫cos8X²


Now the value of the 2nd and the third integral can not be found unless it is a definte integral.


 


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All the best Pawan deep!!!


 



Regards,


Askiitians Experts


SOUMYAJIT IIT_KHARAGPUR

6 years ago
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