1.8.3 Integration

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Question 23

The region $S\,$ is bounded by the curves $y = e^{2x}$ and $y = 15 - 2e^x$ , and the vertical line $x = 0$ . These curves intersect at a point in the first quadrant.

Show that the exact area of the region $S\,$ is

\ln 3 - 8

Fully justify your answer.

[8]

1.8.3 Integration

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Question 23

The region $S\,$ is bounded by the curves $y = e^{2x}$ and $y = 15 - 2e^x$ , and the vertical line $x = 0$ . These curves intersect at a point in the first quadrant.

Show that the exact area of the region $S\,$ is

\ln 3 - 8

Fully justify your answer.

[8]

1.8.3 Integration

Question 23

1.8.3 Integration Questions

1.8.3 Integration

Question 23

1.8.3 Integration Questions