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antinerd
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Homework Statement
Evaluate the definite integrals.
Homework Equations
Integral of (t+1)/(t^2+2t+1) dt from 1 to 4 (a=1, b=4)
and
Integral of (xe^(x^2+1)) dx from 0 to 2 (a=0, b=2)
The Attempt at a Solution
I have done them out, just wondering if this is the best way to do them, and perhaps if I made a mistake, it would be nice to know why:
For the first one, I factored and got:
(t+1) / ((t+1)(t+1))
then i canceled and got
1 / (t+1)
Which then means:
ln |t+1| from 1 to 4 = ln |5| - ln |2|
Is that the answer for that?
Now, for the second one, I did the same thing:
antiderivative of (xe^(x^2+1)) = 1/2 (e^(x^2+1)...
right? Then the answer would be from 0 to 2:
e^5 - e^1 = e^4
Any feedback would be great.