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1.9.27 Integration by substitution (reverse chain rule) (A-level only)

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Question 27

Determine the following indefinite integrals:

i.
∫21x2−143x3−6x+5 dx \int \frac{21x^2 - 14}{3x^3 - 6x + 5} \, \mathrm{d}x ∫3x3−6x+521x2−14​dx
[3]
ii.
∫8e4x(7e4x+2)5 dx \int \frac{8\mathrm{e}^{4x}}{(7\mathrm{e}^{4x} + 2)^5} \, \mathrm{d}x ∫(7e4x+2)58e4x​dx
[3]

1.9.27 Integration by substitution (reverse chain rule) (A-level only) Questions

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