So is it safe to say that we can use integration by substitution???

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- December 13th 2012, 10:11 PMasilvester635Integration help
So is it safe to say that we can use integration by substitution???

- December 13th 2012, 10:14 PMMarkFLRe: Integration help
I would simplify the integrand by factoring from the numerator, then dividing out the common factors of the numerator and denominator. Or you might find it easier to just split the fraction, then reduce each term.

- December 13th 2012, 10:14 PMbkbowserRe: Integration help
carry out the division

- December 13th 2012, 10:36 PMasilvester635Re: Integration help
Can' i just put √t on the numerator and make it t^-1/2 and multiply (t + 2t^2)t^-1/2 together and integrate????

- December 13th 2012, 10:41 PMasilvester635Re: Integration help
Can' i just put √t on the numerator and make it t^-1/2 and multiply (t + 2t^2)t^-1/2 together and integrate????.....

- December 13th 2012, 10:46 PMMarkFLRe: Integration help
Yes, that's another way of splitting the fraction.

- December 13th 2012, 10:47 PMbkbowserRe: Integration help
yup.

you'd end up with

or - December 13th 2012, 11:09 PMasilvester635Re: Integration help
then im authorized to integrate after that step right?

- December 13th 2012, 11:13 PMMarkFLRe: Integration help
Yes, now it is just a matter of applying the power rule term by term.

- December 17th 2012, 09:07 PMx3bnmRe: Integration help
You can do this with the help of integration by parts.

Now after simplification:

We divide this integration in two parts. First:

Then for we use integration by parts:

Now:

So:

Check:

integration (t + 2*t^2)/(t)^(1/2) dt - Wolfram|Alpha