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Why must an indefinite integral include a constant of integration?
A
Differentiating any constant gives zero.
B
They allow uuu to be positive or negative.
C
The cooling equation dTdt=−0.2T+4\dfrac{dT}{dt}=-0.2T+4dtdT=−0.2T+4 factorises to dTdt=−0.2(T−20)\boxed{\displaystyle \frac{dT}{dt}=-0.2(T-20)}dtdT=−0.2(T−20).
D
After separating the variables, integrate both sides before applying an initial condition.
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4.6.1 Integration (A-level only) Flashcards
20 flashcards on WJEC A Level Maths 4.6.1 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.