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About to attempt a 12mark question, is this right?
The sketch shows the finite region bounded by
the curve and the x-axis,
This region is rotated 2π radians about the x-axis,
Find the exact value of volume of the generated.
i got
π∫(xsin^½x)² dx
π∫(x²sinx) dx
now im gonna use integration by parts on that twice if neccessary and sub in the limits, is that the right way and btw i may sound like a noob, but is the algebra correct above when expanded brackets.
the curve and the x-axis,
This region is rotated 2π radians about the x-axis,
Find the exact value of volume of the generated.
i got
π∫(xsin^½x)² dx
π∫(x²sinx) dx
now im gonna use integration by parts on that twice if neccessary and sub in the limits, is that the right way and btw i may sound like a noob, but is the algebra correct above when expanded brackets.
Yeah looks all good to me, and yeah it looks like integration by parts, and yeah you'll have to do it twice lol.
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