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evaluate ∫ ((1+x)^3) / sqrt(x) dx

evaluate
∫ ((1+x)^3) / sqrt(x) dx

Grade:12

1 Answers

kartik kumar
33 Points
6 years ago
I = ∫(1+x)3/x1/2
Put, x = t2
      dx = 2t dt
I = ∫(1+t2)3.2t dt/t
I = 2∫(1 + t+2t2+2t4) dt
I = 2(t + t7/7 +2t3/3 +2t5/5 +C
I = 2(x1/2 + x7/2/7 + 2x3/2/3+ 2x5/2/5 +C

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