Recent content by willbe

ok what about f(x)=exp x sinx using composite trapezoidal rule what is the bound of error for integration from 1 to 3 the second derevative will be 2exp x cos x then to get the bound of error which value should i substitute with??

why we set the value of f'' to zero? we set it to a value that gives us the maximum of the function so we substitute in 2sec^2(x)tan(x) which is equal to 2(1+tan^2(x))tan(x) by PI/4 so we get 2(1+1) which is 4. right??

ok i did and the second derivative is 2sec^2 x tanx now is the maximum value of this function is 4 as sec^2(x)=tan^2(x) + 1 ?

sorry it is to x=pi/4 should i substitute by sec^2x by (1+tan^2x)

using composite trapezoidal rule with n=4 how can i get a bound for the error of I=integration tan(x) from x=0 to x=pi/2 i know that the term of error in comp trapezoidal rule is (b-a)/12 h^2 f''(eita) i got the second derevative of tanx to be 2sec^2 x tanx then i don't know with what value...