Moderate -0.8 This is a straightforward integration question requiring only algebraic expansion of (e^x + 1)^2 = e^(2x) + 2e^x + 1, followed by standard integration and substitution of limits. The techniques are routine for P2 level with no problem-solving insight needed, making it easier than average but not trivial due to the exponential terms and arithmetic involved.
Use limits correctly, allow use of limits \(x = 1\) and \(x = 0\) into an incorrect form
M1
Obtain given answer
A1
[5]
S. R. Feeding limits into original integrand, 0/5
Integrate and obtain $\frac{1}{2}e^{2x}$ term | B1 |
Obtain $2e^x$ term | B1 |
Obtain $x$ | B1 |
Use limits correctly, allow use of limits $x = 1$ and $x = 0$ into an incorrect form | M1 |
Obtain given answer | A1 | [5]
S. R. Feeding limits into original integrand, 0/5