Why must an indefinite integral include a constant of integration?
Differentiating any constant gives zero.
They allow uuu to be positive or negative.
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).
After separating the variables, integrate both sides before applying an initial condition.
4.6.1 Integration (A-level only) Flashcards
Flashcards for WJEC A Level Maths 4.6.1 Integration (A-level only), covering the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4. 20 cards, matched to the WJEC A Level Maths (1300QS) 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.