Integ rati on westiesworkshop westiesworkshop How do I

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Integ rati on @westiesworkshop

Integ rati on @westiesworkshop

@westiesworkshop How do I integrate that!?

@westiesworkshop How do I integrate that!?

@westiesworkshop

@westiesworkshop

@westiesworkshop Is the function of a standard form? e. g. 5 e 7 x+2

@westiesworkshop Is the function of a standard form? e. g. 5 e 7 x+2 , sin(3 x-1) , or (4 x+3)1/2

@westiesworkshop Use one of these and adjust for constants!

@westiesworkshop Use one of these and adjust for constants!

@westiesworkshop

@westiesworkshop

@westiesworkshop Use the formula and change the limits.

@westiesworkshop Use the formula and change the limits.

@westiesworkshop

@westiesworkshop

@westiesworkshop ‘Try’ one of these and adjust for constants! e. g.

@westiesworkshop ‘Try’ one of these and adjust for constants! e. g.

@westiesworkshop

@westiesworkshop

@westiesworkshop Use partial fractions to simplify the integral e. g. Note: If the fraction

@westiesworkshop Use partial fractions to simplify the integral e. g. Note: If the fraction is top heavy you will have to use long division first! e. g.

@westiesworkshop Is the integral a product of 2 functions? e. g.

@westiesworkshop Is the integral a product of 2 functions? e. g.

@westiesworkshop Are both functions with respect to the same variable? (normally x) e. g.

@westiesworkshop Are both functions with respect to the same variable? (normally x) e. g.

@westiesworkshop Use integration by parts to simplify the integral e. g. Always let u

@westiesworkshop Use integration by parts to simplify the integral e. g. Always let u = xn unless there is a ln x term, in which case let u = ln x

@westiesworkshop So your function should look something like this? e. g.

@westiesworkshop So your function should look something like this? e. g.

@westiesworkshop Use the Separation of variables technique e. g.

@westiesworkshop Use the Separation of variables technique e. g.

@westiesworkshop Can you use a trig identity to create something more familiar? e. g.

@westiesworkshop Can you use a trig identity to create something more familiar? e. g.

@westiesworkshop Use one of the trig identities to help e. g.

@westiesworkshop Use one of the trig identities to help e. g.

@westiesworkshop Can you simplify the integral by substituting? e. g.

@westiesworkshop Can you simplify the integral by substituting? e. g.

@westiesworkshop Use a substitution to make things easier (remember to find dx and replace

@westiesworkshop Use a substitution to make things easier (remember to find dx and replace so the integral is in respect to u) e. g. Note: you do not have to ‘change u back’ if you are integrating between limits - but remember to change the given limits from x to u

@westiesworkshop O. K…… now you can panic!!!!

@westiesworkshop O. K…… now you can panic!!!!