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Integrate x(1+x-x^2)^1/2 dx

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Integrate x(1+x-x^2)^1/2 dx

Posted by Suraj Roy 7 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

Prerna Pahwa 7 years, 6 months ago

Make derivative of 1+x-x^2 1/2 Integration (2x+1-1)√1+x-x^2 1/2 Integration (2x-1)√1+x-x^2 dx +1/2 Integration √1+x-x^2 dx Let 1+x-x^2 =t 1-2x dx=dt -1/2 Integration√tdt +1/2 Integration√-(x^2-x+1/4-1/4-1)dx -1/3t^(3/2)+ 1/2 Integration√5/4-(x-1/2)^2 dx -1/3(1+x-x^2 )^3/2 +1/2sin^-1(x-1/2)/5/4. +c

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