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Mathematics 4 Online
OpenStudy (sashou):

evaluate the indefinite integral

OpenStudy (sashou):

\[\int\limits_{?}^{?}(x^3 +61)/(x^2 + 5x + 4)\]

OpenStudy (experimentx):

make partial fractions first ... then it will be easy.

OpenStudy (sashou):

that's what i did, first I used long division to lower down the power of the numerator

OpenStudy (experimentx):

\[\large Ax + \frac{Bx+C}{(x+1)(x+4)}\] first change into this form.

OpenStudy (sashou):

i did it, and I ended up with \[\int\limits_{?}^{?}x-4 +\int\limits_{?}^{?} (17x - 77)/(x^2 + 5x +4) dx\]

OpenStudy (experimentx):

can you integrate x-4??

OpenStudy (experimentx):

(17x−77)/(x2+5x+4) ---change it into --> A/(x+4) + B/(x+1)

OpenStudy (sashou):

when I integrate eveything x^2/2 -4x + 20ln|x+1|- 3ln|x+4| + C

OpenStudy (experimentx):

should be something like that ... ask wolf bro for answre. http://wolframalpha.com

OpenStudy (sashou):

thank you!

OpenStudy (experimentx):

wc

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