# Science:Math Exam Resources/Courses/MATH101/April 2011/Question 06 (b)

MATH101 April 2011
Other MATH101 Exams

### Question 06 (b)

Use part (a) to determine an approximation of the following definite integral

${\displaystyle \int _{0}^{0.1}{\frac {1}{1+x^{3}}}dx}$

so that the error in the approximation satisfies

${\displaystyle |{\text{error}}|\leq 10^{-9}}$