integral of e^(2-3x) from 0 to 1 using limit of sums

integral of e^(2-3x) with limit  0 to 1 using limit of sums

identify a =0 , b=1

nh = b-a = 1

f(x)  = e^(2-3x)

find f(a) = f(0)
f(a+h)=f(h)
f(a+2h) = f[2h]
till the pattern can be identified,
f(a + (n-1) h ) = f[(n-1) h] etc

simplify using properties of sum of  n terms of a GP.
and use the limit [(e^h) -1] / h tends to 1 as h tends to 0

formulae on integration
 
PAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTION

 PAGE 3 INTEGRATION BY COMPLETION OF SQUARES

PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR


PAGE 6 INTEGRATION USING PARTIAL FRACTIONS

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