Express the Limit as a definite integral

[kggirl]

Is this the correct answer for: as the lim ||P approaches 0||
(the k is a C sub k)
N
Σ sec[Ck]Δxk where P is a partition of [0, 1]
k=1


I got: Integral from 0 to 1 tan xdx, is this correct?[/quote]

 

[pka]

Given that P is a member of a sequence of partitions of [0,1] such that ||P|->0 then \(\displaystyle \L
\sum\limits_{k = 1}^N {\sec (x_k )dx_k }\) is an approximating sum for the integral \(\displaystyle \L
\int_0^1 {\sec (x)dx}\) .

 

[kggirl]

thank you

thak you!