AQA A Level Maths: Pure复习笔记8.2.4 f'(x)/f(x)
f'(x)/f(x) Integrating fractions The technique for integrating fractions depends on the type of fraction For polynomial denominators see Integration using Partial Fractions The type of fraction dea...
AQA A Level Maths: Pure复习笔记8.2.3 Reverse Chain Rule
Reverse Chain Rule What is the chain rule? The Chain Rule is a way of differentiating two (or more) functions In many simple cases the above formula/substitution is not needed The same can apply fo...
AQA A Level Maths: Pure复习笔记8.2.2 Integrating Other Functions (Trig, ln & e etc)
Integrating Other Functions (Trig, ln & e etc) Isn’t integration just the reverse of differentiation? Yes, but remember “+c”, the constant of integration … … unless finding a definite integral ...
AQA A Level Maths: Pure复习笔记8.2.1 Integration as the limit of a sum
Integration as the limit of a sum Finding the area under a curve Definite integration allows us to find the area under a curve An estimate for the area under the curve is the sum of the rectangula...
AQA A Level Maths: Pure复习笔记8.1.5 Area between a curve and a line
Area between a curve and a line What is the area between a curve and a straight line? This is the area enclosed by a curve and a line between their intersections The intersections may need to be fo...
AQA A Level Maths: Pure复习笔记8.1.4 Area Under a Curve
Area Under a Curve What does area under a curve mean? The phrase “area under a curve” refers to the area bounded by … ... the x-axis … the graph of y = f(x) … the vertical line x = a … the vertical...
AQA A Level Maths: Pure复习笔记8.1.3 Definite Integration
Definite Integration What is definite integration? Definite Integration occurs in an alternative version of the Fundamental Theorem of Calculus This version of the Theorem is the one referred to by...
AQA A Level Maths: Pure复习笔记8.1.2 Integrating Powers of x
Integrating Powers of x What is integration? Integration is the inverse ('opposite') of differentiation How do I integrate powers of x? For each term … … increase the power (of x) by 1 … divide b...
AQA A Level Maths: Pure复习笔记8.1.1 Fundamental Theorem of Calculus
Fundamental Theorem of Calculus What is the fundamental theorem of calculus? The Fundamental Theorem of Calculus states that integration is the inverse process of differentiation This form of the T...
