Compute the definite integral of the curve x 2 − 3 x + 2
for x ranging from 2 to
8. Compute the same by approximating it by dividing the region into many
small trapeziums. Keep increasing the number of trapeziums to get to the
accuracy of 3 decimal places.
Please note you are
not supposed to integrate it manually and then compute
the same.
Side note: We have given a simple formula for computation however there
exist functions whose integral are not possible to compute with our usual
manual techniques e.g. ∫ s in(x 2 ) dx . In these cases, numerical techniques comes
in handy.