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(a) If ∫0βxexdx=9, use integration by parts to show that eβ=β−18. [4 marks ] (b) By using the substitution u2=9x−2 whe
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(a) If ∫0βxexdx=9, use integration by parts to show that eβ=β−18. [4 marks ] (b) By using the substitution u2=9x−2 whe
(a) If ∫0βxexdx=9, use integration by parts to show that eβ=β−18. [4 marks ] (b) By using the substitution u2=9x−2 where u>0 to evaluate the exact value of ∫1/311/99x−281x2dx (c) Evaluate the integral ∫(x−3)29−2xdx (d) By using the substitution u=lnx, evaluate ∫x(lnx−4)(lnx+5)18dx
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