Quite simply that, like any general-purpose integration method, it works only for some specific cases. In this case, not all expressions can be simplified into something integrable simply by substituting something.
Chat with our AI personalities
It means that you substitute one expression by another, as a step of the integration. When you do a substitution, you must not forget to also substitute the differential in the integral, for example the "dx" (if the variable integrated is "x"). You can find some examples on how to do this in the Wikipedia article on "integration by substitution".
i love wikipedia!According to wiki: In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other reasons, integration by substitution is an important tool for mathematicians. It is the counterpart to the chain rule of differentiation.
Yes
Integration by Parts is a special method of integration that is often useful when two functions.
By the substitution method By the elimination method By plotting them on a graph