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Papers 1 and 2 · Pure
8.5 Integration
Question 1 · 6 marks
Calculator allowed · Show full working
Spec and skills
Paper scope: Pure 1/2
Spec P8.5
Original practice question
Solutions relying on calculator technology are not acceptable.
(a)
Use the substitution
u
=
x
3
u = x^3
u
=
x
3
to find
∫
6
x
2
e
x
3
d
x
\int 6x^2e^{x^3}\,dx
∫
6
x
2
e
x
3
d
x
.
2 marks
x
c
xⁿ
a/b
√
π
(
)