Calculus Help

**frozenflames** · February 22nd 2006, 12:49 PM

see attachment

**CaptainBlack** · February 22nd 2006, 09:03 PM

Originally Posted by frozenflames

see attachment

The usual trapezoidal approximation for a definite integral is:

$ \int_a^b f(x)\ dx=\frac{h}{2} (y_0 + 2y_1+2y_2+...+2y_{n-1}+y_n) $

but your data don't have a fixed tabulation interval so we need an alternate
definition of the trapezoidal approximation, which is:

$ \int_a^b f(x)\ dx=\sum_1^{n-1}\ (x_{i+1}-x_i)(f(x_{i+1})+f(x_i))/2 $ ,

which in this case is:

$ \int_a^b f(x)\ dx=3\times 20+2 \times 35 + 1 \times 30 = 160 $

RonL

Thread: Calculus Help

LinkBack

Thread Tools

Display

Calculus Help

Similar Math Help Forum Discussions

What pre-calculus needed for this calculus class?

Some calculus problems in the assignment of Calculus 1 course

Pre-Calculus Question w/ Some Basic Calculus Involved

Calculus III But doesn't require Calculus :)

Can you Teach Yourself Calculus 2 (Integral) and Calculus 3 (Multivariable)

Search Tags