Card 1 of 23
For non-zero kkk,
∫ekx dx=[...]. \int e^{kx}\,dx=\text{[...]}. ∫ekxdx=[...].A
Differentiate the answer and recover the original integrand.
B
Several arbitrary constants combine into one arbitrary constant.
C
Integration is linear, so
∫(af(x)+bg(x)) dx=a∫f(x) dx+b∫g(x) dx. \int(af(x)+bg(x))\,dx=\boxed{a\int f(x)\,dx+b\int g(x)\,dx}. ∫(af(x)+bg(x))dx=a∫f(x)dx+b∫g(x)dx.D
For non-zero kkk,
∫ekx dx=1kekx+C. \int e^{kx}\,dx=\boxed{\frac{1}{k}e^{kx}+C}. ∫ekxdx=k1ekx+C.Card 1 of 23
1.8.3 Integrating standard functions (A-level only) Flashcards
23 flashcards on OCR A Level Maths 1.8.3 Integrating standard functions (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.