Standard +0.3 This is a standard Further Maths line intersection problem requiring students to equate parametric forms and solve simultaneous equations. While it involves more algebraic manipulation than a typical A-level question and is from Further Maths content, it follows a well-practiced procedure without requiring geometric insight or novel problem-solving approaches.
Question 3:
3 | DR 1
3 1
− −
∫(x−1) 2dx=−2(x−1) 2(+c)
N
3 1
N − −
∫ (x−1) 2dx=−2(x−1) 2
5
5
2 2
− +
N −1 5−1
1
lim =0oe
N→∞ N −1
∞ − 3 2 2
∫ (x−1) 2dx= lim− + =1
5 N→∞ N −1 5−1 | B1
M1
A1
B1
A1
[5] | 1.1a
2.1
1.1
2.1
2.2a | Consideration of a finite upper
limit
1
Not just eg =0
∞
AG. Convincing argument
equating improper integral to
solution | Can be seen as part of limit of
both terms, but must be explicitly
shown as zero
Calculates cross product of ‘their
r’ and direction vector.
Allow if full method seen or if 2
terms correct