For n≠−1n\neq -1n=−1,
∫xn dx=[...]. \int x^n\,dx=\text{[...]}. ∫xndx=[...].A
Its denominator is a second power, so the power rule applies.
B
For n≠−1n\neq -1n=−1,
∫xn dx=xn+1n+1+C. \int x^n\,dx=\boxed{\frac{x^{n+1}}{n+1}+C}. ∫xndx=n+1xn+1+C.C
The logarithmic derivative rule is
∫f′(x)f(x) dx=ln∣f(x)∣+C. \int\frac{f'(x)}{f(x)}\,dx=\boxed{\ln|f(x)|+C}. ∫f(x)f′(x)dx=ln∣f(x)∣+C.D
Choose roots that eliminate terms.
3.6.5 Integration (A-level only) Flashcards
Flashcards for CCEA A Level Maths 3.6.5 Integration (A-level only), covering the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2. 20 cards, matched to the CCEA A Level Maths (2210) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.