- #1

lastdayx52

- 6

- 0

a. [itex]

\int x*ln(2x) dx

[/itex]

b. [itex]

\int \frac{x^2}{x^2-4} dx

[/itex]

My Attempt:

a. I have abs. no clue how to start it off. Do you start it off using integration by parts?

b. Same with this. I don't know how to start it off.

"Random" Questions:

1) What does "converge" and "diverge" mean? i.e. Another question asks "Determine if each integral converges or diverges". I can do the integrals, but I'm not sure what its asking. One results in the answer being pi/3, the other results in infinity.

2) When the question tells you to setup an integral for a volume of a solid generated when the region is rotated about the line x=-2 using cylindrical shells, you just do:

[itex]\pi *

\int (f(x)+2)^2 dx

[/itex]

Correct?

Thanks!

P.S. I'm not asking for answers, but rather how to start them off. Maybe 1 or 2 beginning steps in integrating these? =D

\int x*ln(2x) dx

[/itex]

b. [itex]

\int \frac{x^2}{x^2-4} dx

[/itex]

My Attempt:

a. I have abs. no clue how to start it off. Do you start it off using integration by parts?

b. Same with this. I don't know how to start it off.

"Random" Questions:

1) What does "converge" and "diverge" mean? i.e. Another question asks "Determine if each integral converges or diverges". I can do the integrals, but I'm not sure what its asking. One results in the answer being pi/3, the other results in infinity.

2) When the question tells you to setup an integral for a volume of a solid generated when the region is rotated about the line x=-2 using cylindrical shells, you just do:

[itex]\pi *

\int (f(x)+2)^2 dx

[/itex]

Correct?

Thanks!

P.S. I'm not asking for answers, but rather how to start them off. Maybe 1 or 2 beginning steps in integrating these? =D

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