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# U substitution

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U substitution is explained using the example S4x(x^2+1)^5dx without and with limits of integration.

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U substitution is explained using the example S4x(x^2+1)^5dx without and with limits of integration.

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The point of U substitution is to simplify the appearance of the integral so that it is easy to use the appropriate rule. The first step in the process is to choose what we are going to call , which can be difficult, but in simpler problems is usually the inside of a parenthesis to a power, the inside of a radical, the bottom of a fraction, the angle of a trig function or functions, or a trig function multiplied by its derivative trig. Whatever your choice for , in simple problems the ...

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