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nikhil sahota Grade: 12
        

how to integrate [x^5(1+x^4)]

6 years ago

Answers : (3)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Let x4=t


then 4x3 dx=dt


Substitute these values and you will easliy integrate it using standard results...


















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Sagar Singh


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6 years ago
PRATIK subramaniyam SAXENA
30 Points
										

it is ur soln.


x^5(1+x^4) dx


(x^5+x^9) dx


which on integration gives


x^6 .1/6+x^10 .1/10Cool

6 years ago
vikas askiitian expert
510 Points
										

[1+x4]x5dx = [1+x4]x2x3 dx


put   x4 = t


       4x3dx = dt


now expression is


 [1+t]t1/2 dt/4


[ t1/2+t3/2 ]dt/4


[(2/3)t3/2 + (2/5)t5/2]/4 + C


(2/3)(x6) + (2/5)x10 + C

6 years ago
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