Integration by Substitution

Description

A-Level Maths (C4) Flashcards on Integration by Substitution, created by Fauzia Ali on 09/02/2017.
Fauzia Ali
Flashcards by Fauzia Ali, updated more than 1 year ago
Fauzia Ali
Created by Fauzia Ali almost 8 years ago
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Resource summary

Question Answer
Integration By Substitution
Example: Integrate sec^3 x tan x dx Use the substitution u=sec x Step 1: Differentiate u du/dx= sec x tan x
Step 2: Separate the variables du= sec x tan x dx Step 3: Substitute! I= sec^2 x sec x tan x dx I= sec^2x du I=u^2 du
Step 4: Integrate I=1/3 u^3 Step 5: Substitute x back in I=1/3 sec^3 x
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