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Grade 12Integral Calculus

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

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Profile image of Abigail Treasa
8 Years agoGrade 12
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1 Answer

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer8 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 :)