Integration by finding limits???

by Ruckstar033
Tags: integration, limits
Ruckstar033 is offline
May6-09, 07:45 AM
P: 1
Hi Guys, im having a huge problem with integration at the moment and dont know how to approach it cause i have a lousy teacher who couldnt be bothered in actually doing examples on the board. The equation is given as this:

f(t) = 2^t + t^2

Using the equation find the area under the curve between 0 and 1 using:

1) finding certain limits and

2) Fundamental theorem of calculus.

I know how to do 2 as integrating the equation yields 2^t/ln2 + t^3/3 and then sub in the numbers for 1 and 0 and subtract.

Problem is i cant do part 1! Can someone help me with this im desperate. My test is tomorrow!!! Your contribution is much appreciated. Thanks
Phys.Org News Partner Science news on
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city
mbisCool is offline
May6-09, 02:46 PM
mbisCool's Avatar
P: 136
Riemann sum?
qntty is offline
May6-09, 02:56 PM
qntty's Avatar
P: 290
[tex]\int_a^b{f(x)}\, \text{d}x = \lim_{n \to \infty}{\sum_{i=1}^n{f(x_i)} \Delta x[/tex]

Is the definition of an definite integral. If she said to find the limit then it seems like she doesn't want you to estimate with a large n value, but to actually find the limit of the sum.

Register to reply

Related Discussions
Integration problems. (Integration by parts) Calculus & Beyond Homework 5
Help with integration, involving integration by partial fractions. Calculus & Beyond Homework 3
Help with integration (1) involving integration by parts...etc Calculus & Beyond Homework 5
Calc BC - Integration Problem involving Constants of Integration and Related Rates Calculus & Beyond Homework 5
Question arrising from integration homework (advanced integration i guess?) Calculus 9