Standard +0.3 This is a standard Further Maths integral requiring recognition of the inverse sine form 1/√(a²-x²). Students must manipulate 4-9x² into the form a²-(bx)², apply the standard result arcsin(x/a), and evaluate at the limits. While it requires careful algebraic manipulation and knowledge of a Further Maths formula, it's a direct application of a bookwork result with no novel problem-solving, making it slightly easier than average overall but typical for Further Pure.
Question 3:
3 | DR
= 1(arcsin1[−arcsin0])
3 2 | M1
A1
M1
A1 | 3.1a
1.1
1.1
1.1 | must be in the form k
√4−x2
9
k=/ 1
k arcsin(3x/2)
| can award M1A1 if integral is
fully correct before limits
substituted
OR | M1
A1
M1
A1
[4] | for suitable substitution
an equivalent expression that
can be integrated
substitution of correct limits
of their variable