For n≠−1n\neq -1n=−1, ∫xn dx=\int x^n\,dx=∫xndx= [...]\text{[...]}[...].
A
Differentiating any constant gives zero.
B
For n≠−1n\neq -1n=−1, ∫xn dx=\int x^n\,dx=∫xndx= xn+1n+1+C\boxed{\frac{x^{n+1}}{n+1}+C}n+1xn+1+C.
C
A region above the xxx-axis contributes positively to a definite integral.
D
The roots of f(x)=0f(x)=0f(x)=0.
1.8.3 Integration Flashcards
22 flashcards on WJEC A Level Maths 1.8.3 Integration: the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.