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

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

Grade:12

3 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

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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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

PRATIK subramaniyam SAXENA
30 Points
10 years ago

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

vikas askiitian expert
509 Points
10 years ago

[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

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