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pat
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Posted on 09-24-06 7:18
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Please help me INTEGRATE 1. (9x^2+4)^(1/2)/x^4 dx 2.(arc sin x)^2 dx 3.ln(x^(1/2) +(1+x)^(1/2)) dx 4.(2e^(2x)-e^x)/(3e^(2x)-6e^(x)-1)^(1/2)
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hyperthread
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Posted on 09-24-06 9:16
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pat
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Posted on 09-24-06 9:25
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thanks..but i need the steps...hints would also be appreciated....
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pat
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Posted on 09-25-06 4:01
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RajaHarischandra
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Posted on 09-25-06 4:54
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1. Put x= (2/3) tan(t) then dx = 2/3 (sec (t))^2 dt then plug these in the question, will get in the form of (constant)cos(t)dt = (constant)sin(t) + Another constant you need to put back the value of t find the final answer got it???
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Jhapali_Thito
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Posted on 09-25-06 5:03
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Hey pat for the first one do this: sub in x=2/3 tan u. for the second one do the following: sub in u=arc sin x, then you get dx= cos u du. ultimately the integrand becomes u^2 cos u . I guess u know what to do after that. foe 3rd one: hmmmmmmmmmmmmmmm wait a second. for 4th try subing in u= 3 e^(2x) -6e^x-1
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pat
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Posted on 09-25-06 6:10
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thanks guys...got the first one....will try second and third after class... thanks again...
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