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abhinav daalia Grade:
        

how to integrate 1/(1+x^3)^1/2

6 years ago

Answers : (1)

Pramod J AskiitiansExpert-IIT-B
36 Points
										

Dear student,


let (1+x^3) = t^2


=> 3x^2*dx = 2tdt


=> dx = 2tdt/3x^2


substitute this in integral euation,


∫(1+x^3)^-1/2 * 2tdt/3x^2


=> ∫ 2dt/3*(t-1)^(2/3)


put t-1 = k


=> ∫ 2*dk/3*k^(2/3)


=> 2k^1/3

6 years ago
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