# Integral Calculus Problems Solutions

**the question is “evaluate the integral exactly by using the fundamental theorem of calculus”?**

I understand the fundamental theorem of calculus, but whenever i work a problem I get caught up on taking the antiderivatives… the equation that i need help finding the antiderivative of is

(1+3x)^2

a step by step solution of this would be greatly apreciated

Well, I’m not an incredible calculus student myself, and there may be a faster way to do this, but I would start by actually multiplying out the equation.

Now, we need the antiderivative of: 1 + 6x + 9x^2

This is a lot easier. Let’s take one term at a time.

A) The way we learned it, you can find the antiderivative of x to a power with the formula “(x^(n + 1)) / (n+1)” (that’s “x to the n +1, all divided by n + 1)

So, 9x ^2 becomes 9[(x^3)/3], which equals 9 * (1/3) * x^3, or 3x^3. (Finding the derivative of this reveals that it is correct).

B) Using the same process, we know that the antiderivated of 6x is 3x^2.

C) The antiderivative of 1 is, of course, x.

So, our integral turns out to equal “3x^3 + 3x^2 + x + C”

**2005 AP Calculs AB Free Response Question**

http://www.jukeboxalive.com/blog.php?blog_id=12692125

Throughout this grand design of things you’ll receive an A+ just for effort. Where exactly you confused everybody was on all the facts. As it is said, details make or break the argument.. And that couldn’t be much more accurate at this point. Having said that, allow me tell you just what did give good results. The article (parts of it) is certainly extremely powerful which is possibly the reason why I am taking the effort in order to opine. I do not make it a regular habit of doing that. Second, while I can easily notice the jumps in logic you make, I am not necessarily certain of just how you appear to unite your ideas which inturn help to make the conclusion. For the moment I shall subscribe to your point but hope in the future you actually connect your dots much better.

If you desire to grow your knowledge only keep visiting this web site and be updated with the most recent gossip posted here.

I know this if off topic but I’m looking into starting my own

blog and was wondering what all is needed to get set up?

I’m assuming having a blog like yours would cost a

pretty penny? I’m not very internet savvy so I’m not 100% certain.

Any recommendations or advice would be greatly

appreciated. Kudos

Tranquilizers are responsible for this state of conscious sedation, wherein a patient is conscious and receptive, but relaxed not in a deep sleep, but he is feeling rather lethargic though.

Remember, no single technique is a guaranteed curative, but people who have become accomplished at managing their nervous state often use a range of these ‘tricks’ to to help

keep calm. But this unfastening won’t be possible if the roots of the primary tooth are strongly

united with the alveolar bone.

Greetings from California! I’m bored at work so I decided to check out your

blog on my iphone during lunch break. I enjoy the knowledge you present here and can’t wait to take a look when

I get home. I’m shocked at how fast your blog loaded on my cell phone ..

I’m not even using WIFI, just 3G .. Anyways, very good blog!

Feel free to visit my site; best flea home treatment (Kristina)

Normally I do not learn article on blogs, but I wish to say that this write-up very compelled me to take a look at and do it!

Your writing style has been surprised me. Thank you, very nice article.

Hello! I know this is somewhat off topic but I was wondering which blog platform are you using for this site? I’m getting fed up of WordPress because I’ve had problems with hackers and I’m looking at options for another platform. I would be awesome if you could point me in the direction of a good platform.

The desire to earn huge amount of profit triggered foreign exchange traders and mathematicians to come up

with forex robots. Where there is large investment, the profit also is large.

If you want to get started and finally see success in Forex trading, I recommend

you discover how Forex Trading Robots can help you

find more profitable trades and make money faster.