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Integration by Substitution Writing Frame
What Iβm asked to integrateβ¦ 1) The substitution π’= π₯= ππ’ ππ₯ = ππ₯ ππ’ = 2) Rewrite the question. If any x terms cancel then do so, otherwise include substitutions for all x variables. Decide if you will convert the x limits into u limits or integrate without limits and re-substitute for x. 3) Do the integration 4) Evaluate the integral between the limits
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Integration by Substitution Writing Frame
What Iβm asked to integrateβ¦ π₯β3 2 ππ₯ 1) The substitution π₯= π’+3 2 π’=2π₯β3 ππ’ ππ₯ =2 ππ₯ ππ’ = 1 2 2) Rewrite the question. If any x terms cancel then do so, otherwise include substitutions for all x variables. Decide if you will convert the x limits into u limits or integrate without limits and re-substitute for x. π’ 2 ππ₯ ππ’ ππ’ π’ 2 Γ 1 2 ππ’ π’ ππ’ 2Γ1β3 2Γ4β3 π’ 2 ππ₯ ππ’ ππ’ β1 5 π’ 2 Γ 1 2 ππ’ β1 5 π’ ππ’ or 3) Do the integration β1 5 π’ ππ’ π’ β1 5 π’ ππ’ π’ 3 6 or 4) Evaluate the integral between the limits 2π₯β 2Γ4β β 2Γ1β β β = = 63 3 =21 β β = = 63 3 =21 or
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