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...
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 ...
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...
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...
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...
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...
NEC全美经济学挑战火热报名中！ 截止日期：11月30日 由全球经济与金融教育最权威的学术机构——CEE（美国经济教育学会）举办，旨在激发学生对经济学知识的兴趣、培养解决问题的能力、建立审辩性思维习惯。 适合学...
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...
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...
