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Grade 12Integral Calculus

what is the value of integration of root(x) into sin x . the root is only for x not for sin pls let me know the ans dont think it is a wrong question but it is correct question

NIKHIL

8 Years agoGrade 12

2 Answers

Arun

8 Years ago

Dear Nikhil,

Try with by parts integration

1st is x^(1/2)

2nd is sinx

Now

I = x^(1/2) * (-cosx) - $\int$ (1/2) (1/x^(1/2)) (- cos x) dx

Now again integrate the later part by by parts

You get there is again an algebric fn with sin x

Now take this again as I.

Now you have to give the value of I.

Regards

Arun (askIITians forum expert)

Ashish Pandit

7 Years ago

Dear Nikhil,

I suppose it should not work.

Because (root x)*(sinx) does have an antiderivative. The solution does not exist.

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