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(Solved): Evaluate the following integral by using the first three terms of the Maclaurin expansion of the in ...
Evaluate the following integral by using the first three terms of the Maclaurin expansion of the integrand.
\int_0^(0.3) (sin(x))/(x)dxCalculate the answer correct to 5 decimal places by this method. Value of Integral
=Useful Maclaurin Series:
sin(x)=x-(x^(3))/(3!)+(x^(5))/(5!)-(x^(7))/(7!)+dots
cos(x)=1-(x^(2))/(2!)+(x^(4))/(4!)-(x^(6))/(6!)+dots
e^(x)=1+x+(x^(2))/(2!)+(x^(3))/(3!)+dots
ln(1+x)=-x+(x^(2))/(2)-(x^(3))/(3)+dots
(1)/(1+x)=1-x+x^(2)-x^(3)+dots