3.6.7 Integration (A-level only)

Question 5

The region bounded by $y=1xy=\dfrac1x$ , the $x$ -axis and the lines $x = 1$ and $x = k$ , where $k > 1$ , is rotated through $2\pi\,$ radians about the $x$ -axis. The volume formed is $3π4\dfrac{3\pi}{4}$ cubic units.

Find $k$ .

[5]

3.6.7 Integration (A-level only)

1 2 3 4 5 6 7 8

Question 5

The region bounded by $y=1xy=\dfrac1x$ , the $x$ -axis and the lines $x = 1$ and $x = k$ , where $k > 1$ , is rotated through $2\pi\,$ radians about the $x$ -axis. The volume formed is $3π4\dfrac{3\pi}{4}$ cubic units.

Find $k$ .

[5]

3.6.7 Integration (A-level only)

Question 5

Markscheme

3.6.7 Integration (A-level only)

Question 5

Markscheme

3.6.7 Integration (A-level only)

Question 5

3.6.7 Integration (A-level only) Questions

3.6.7 Integration (A-level only)

Question 5

3.6.7 Integration (A-level only) Questions