Use form of the definition of the integral given in theorem 4 to evaluate integral

Theorem 4 says that if f is integrable on [a,b], then

where and

My question is

I have ;

so

but by taking the antiderivative I get 42.

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Quote:

Originally Posted by

**amthomasjr** Theorem 4 says that if f is integrable on [a,b], then

where

and

My question is

I have

;

Your is incorrect, it should be

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Ah, I see. Forgive me for wasting your time.

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Quote:

Originally Posted by

**amthomasjr** Ah, I see. Forgive me for wasting your time.

You learn by asking. Sounds trite, but it's true. You wasted no one's time.

-Dan

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Quote:

Originally Posted by

**Plato** Your

is incorrect, it should be

Instead of getting 6 + 54, I get -12 + 54.

Thanks

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Quote:

Originally Posted by

**amthomasjr** I get -12 + 54.

But which is correct.

Re: Use form of the definition of the integral given in theorem 4 to evaluate integra

Yes, that is what I meant.

Thank you