Approximating definite integrals Use a Taylor series to approximate the following definite integrals. Retain as many terms as needed to ensure the error is less than 10−4

Solution 36E

Step 1:

In this problem we need to approximate the definite integral )dx using taylor series.

We know that cos(x) = 1 - + -+...........

By using the above result , we get

Cos ( ) = 1 - + -+...........

)dx = ( 1 - + -+..........)dx

= 1 - +