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M.vs vivek vardhan Grade: 12
        integral limits from 0 to 1 x^2(1+x)^2dx=

6 years ago

Answers : (4)

Fawz Naim
37 Points
										

0 to 1 integral x^2(1+x)^2dx


=0 to 1 integral x^2(1+x^2+2x)dx


=0to 1 integral (x^2+x^4+2x^3)dx


=0 to 1 integral x^2dx + 0 to 1 integral x^4dx + 2* 0 to 1 integral x^3dx


=0 to 1 [x^3/3] + 0 to 1 [x^5/5] + 2* 0 to 1 [x^4/4]


=[1/3-0/3] + [1/5-0/5] + 2*[1/4-0/4]


=1/3 + 1/5 + 2*1/4


=1/3 + 1/5 + 1/2= 31/30

6 years ago
Devasish Bindani
45 Points
										

 


are yar


u just expand  (x+1)2


and multiply by x2


u will get x2  +x4  +2x3


now on integrating u will get x3/3 + x5/5 + x4/2 and on putting limits


u will get 1/3+1/5+1/2=31/30


 good luck

6 years ago
shalini goyal
37 Points
										

i think the ans is 31/30....."is it right??"

6 years ago
sachin goyal
18 Points
										

Yes 31/30 is right.

6 years ago
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