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Help : FP2 Integration question
this question was in the FP2 exam of June 2006, it asks you to find out the area under the curve between limits 3 and 1 of the equation y = x^2arsinhx. i substituted x with sinh$ (theta) but i got stuck on the integration, and the markscheme does something really weird where some terms just disappear.
can anyone put up a step by step solution of this please?
thanks.
can anyone put up a step by step solution of this please?
thanks.
Reply 1
Integrate by parts, differentiating the arsinh x
Reply 2
21
I assume y = (x^2)arsinhx and not x^(2arsinhx)
You can use parts. Differentiate arsinhx and integrate x^2
You can use parts. Differentiate arsinhx and integrate x^2
Reply 3
or you could a substitution of x = sinhu then do by parts once.
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