Hi

Can someone tell me how would i anti-differentiate the following:

1)

2) In this question you have to evaluate the following definite integrals:

This is what i done:

answer was ln(5) +4e but i don't understand how they got it.

P.S

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- Dec 20th 2009, 10:25 PMPaymemoneyIntegration question
Hi

Can someone tell me how would i anti-differentiate the following:

1)

2) In this question you have to evaluate the following definite integrals:

This is what i done:

answer was ln(5) +4e but i don't understand how they got it.

P.S - Dec 20th 2009, 10:42 PMChris L T521
Hint:

Quote:

2) In this question you have to evaluate the following definite integrals:

This is what i done:

answer was ln(5) +4e but i don't understand how they got it.

P.S

Also, . You can't subtract the exponents like that. - Dec 20th 2009, 10:51 PMPaymemoney
ok i understand why it is 4e now thanks.

- Dec 21st 2009, 12:45 AMPaymemoney
Just be make sure i am right, for 1) do you divide x by x+1? or divide x+1 by x?

- Dec 21st 2009, 10:32 AMoblixps
you divide x by x+1. use polynomial long division. or since these are simple and easy polynomials, you can use a little trick. what i do is add and subtract a 1 from the top so you have (x + 1 - 1) / (x + 1), then i rearrange: (x+1)/(x+1) - (1/(x+1)) so now the integrand becomes 1 - (1/(x+1))