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The fundamental logarithmic integral is
∫1x dx=[...]. \int \frac{1}{x}\,dx=\text{[...]}. ∫x1dx=[...].A
∫3x+5(x−1)2 dx=3ln∣x−1∣−8x−1+C.
\int\frac{3x+5}{(x-1)^2}\,dx=\boxed{3\ln|x-1|-\frac{8}{x-1}+C}.
∫(x−1)23x+5dx=3ln∣x−1∣−x−18+C.
B
$\displaystyle 2ln\lnln|x-1|+3ln\lnln|x+2|+C$
C
The fundamental logarithmic integral is
∫1x dx=ln∣x∣+C. \int \frac{1}{x}\,dx=\boxed{\ln|x|+C}. ∫x1dx=ln∣x∣+C.D
$\displaystyle x+3ln\lnln|x-1|-ln\lnln|x+1|+C$
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3.7.5 Integration (A-level only) Flashcards
21 flashcards on WJEC A Level Maths 3.7.5 Integration (A-level only): the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.