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Mathematics 13 Online
OpenStudy (el_arrow):

evaluate the integral problem

OpenStudy (el_arrow):

\[\int\limits_{1}^{2} v^3+3v^6/v^4\]

OpenStudy (anonymous):

that simplifies to \[\int\limits_{1}^{2} v^3+3v^2\]

myininaya (myininaya):

do you mean (v^3+3v^6)/v^4

OpenStudy (el_arrow):

yes myininaya

myininaya (myininaya):

you need to write as two fractions first then

OpenStudy (anonymous):

weellllll that changes things

myininaya (myininaya):

then use law of exponents

OpenStudy (el_arrow):

but i multiplied that by v^-4

OpenStudy (el_arrow):

and i got v^-1 and 3v^2

OpenStudy (el_arrow):

am i doing it right?

myininaya (myininaya):

looks good

myininaya (myininaya):

now integrate those tems

OpenStudy (el_arrow):

will it be ln v +v^3?

myininaya (myininaya):

then you have the limits to plug in and yes that looks good so far

myininaya (myininaya):

[ln(2)+(2)^3]- [ ln(1)+1^3]

OpenStudy (el_arrow):

so the final answer would be ln(1)+7?

myininaya (myininaya):

well ln(2)+7 ln(1)=0

OpenStudy (el_arrow):

oh okay

OpenStudy (el_arrow):

thank you

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