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(a) If ∫0β​xexdx=9, use integration by parts to show that eβ=β−18​. [4 marks ] (b) By using the substitution u2=9x−2 whe

Posted: Thu Jul 14, 2022 4:03 pm
by answerhappygod
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(a) If ∫0β​xexdx=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 ∫1/311/9​9x−2​81x2​dx (c) Evaluate the integral ∫(x−3)29−2x​dx (d) By using the substitution u=lnx, evaluate ∫x(lnx−4)(lnx+5)18​dx