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Please help me solve this....................................thankyou

Please help me solve this....................................thankyou

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Grade:12

1 Answers

Aditya Gupta
2081 Points
5 years ago
apply integration by parts. u=arccosx and v=x^2
so integral becomes arccosx *x^3/3 – ∫( – 1/(1-x^2)^0.5)*x^3/3dx
now all we gitta do is to solve this: ∫(1/(1-x^2)^0.5)*x^3dx
put (1-x^2)^0.5=z
so that 2zdz= – 2xdx
so integral becomes ∫– (1-z^2)dz
which is elementary :)

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