The region R is bounded by the x-axis, the y-axis, part of the curve with equation y= e^(2x) and part of the straight line with equation x=3.
Calculate, giving your answers in exact form,

(a) the area of R

I understand how they got (1/2)e^6 via integration, but the full answer is (1/2)e^6-(1/2)

Why?...

(b) the volume of the soild of revolution generated when R is rotated through four right angles about the x-axis... Help!

Question

The region R is bounded by the x-axis, the y-axis, part of the curve with equation y= e^(2x) and part of the straight line with equation x=3.
Calculate, giving your answers in exact form,

(a) the area of R

I understand how they got (1/2)e^6 via integration, but the full answer is (1/2)e^6-(1/2)

Why?...

(b) the volume of the soild of revolution generated when R is rotated through four right angles about the x-axis... Help!

anonymous · Answer

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