Edexcel A Level Maths: Pure:復習筆記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 If ?then?y = ln |x| + c?...
Edexcel A Level Maths: Pure:復習筆記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...
Edexcel A Level Maths: Pure:復習筆記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 ...
Edexcel A Level Maths: Pure:復習筆記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...
Edexcel A Level Maths: Pure:復習筆記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...
Edexcel A Level Maths: Pure:復習筆記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...
Edexcel A Level Maths: Pure:復習筆記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...
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Edexcel A Level Maths: Pure:復習筆記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...
