Integration by Substitution

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Integration by Substitution This method is also called the u-substitution or the reverse of chain rule of derivation. The chain rule except being useful in derivation is also in integration: If we have two functions $ displaystyle f(x)$ and $ displaystyle g(x)$ then the derivative of their composite function is:$ displaystyle (fcirc g{)}'(x)={f}'(g(x)){g}'(x)$. How it helps on integration […]

Integration Rules

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Integration rules We already know that finding an integral is the reverse of finding a Derivative. So firstly you should learn derivates We talked about two types of integral, but a more scientific definition is: Indefinite Integral $ displaystyle int{{f(x)dx=F(x)+C}}$ where $ displaystyle {F(x)}$ is an antiderivative of $ displaystyle {f(x)}$. What is an antiderivative? An antiderivative of […]

Introduction to Integration

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Introduction to Integration What is integration? The process of integration is the reverse of the process of Differentiation. It is labeled by the symbol $ displaystyle int{,}$ Integration is used to find areas, volumes and it helps in a lot of other things. One of the most used is in finding the area of an […]