Integration by substitution KUS objectives BAT Integrate using
Integration by substitution • KUS objectives BAT Integrate using a substitution BAT find a definite integral using a substitution, including converting the bounds Starter:
Integration by Substitution This method follows from And takes things further so we can attempt functions we could not Integrate before now
WORKING OUT So by inspection
WORKING OUT Substitution So by substitution To integrate this, you need to replace the x terms with equivalent u terms, and replace the dx with an equivalent du
Consider the power on the bracket. As it is a power 3, it must have been a power 4 before differentiation WORKING OUT Chain rule So by inspection
WORKING OUT Substitution So by substitution To integrate this, you need to replace the x terms with equivalent u terms, and replace the dx with an equivalent du
Start by trying y = ln |denominator| WORKING OUT Chain rule So by inspection
WORKING OUT Substitution So by substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution Does not simplify !
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
WORKING OUT Substitution
• KUS objectives BAT Integrate using a substitution BAT find a definite integral using a substitution, including converting the bounds self-assess One thing learned is – One thing to improve is –
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