Grade 12Integral Calculus
evaluate
∫ ((1+x)^3) / sqrt(x) dx
evaluate
∫ ((1+x)^3) / sqrt(x) dx
∫ ((1+x)^3) / sqrt(x) dx
1 Answer
kartik kumar
I = ∫(1+x)3/x1/2
Put, x = t2
dx = 2t dt
I = ∫(1+t2)3.2t dt/t
I = 2∫(1 + t6 +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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