Question: The definite integral of a function f(x) over the interval a,bis defined as:abf(x)dx=limni=1nf(xi*)xWhat does the asterisk notation xi* represent in this definition?Ai-th subinterval and can

The definite integral of a function f(x) over the interval a,bis defined as:abf(x)dx=limni=1nf(xi*)xWhat does the asterisk notation xi* represent in this definition?Ai-th subinterval and can be chosen based on differentRiemann sum methods.Cfis continuous ona,b, then the function F(x)=axf(t)dtis differentiable and F'(x)=f(x).Dxndx=xn+1n+1+C for n-1B1xdx=ln|x|+CCexdx=ex+CDsinxdx=cosx+CWhat is integration by substitution primarily used for?Ae2xdx.Ae2x+CB12e2x+CC2e2x+CDex+CIn using integration by parts, which of the following is typically a good choice for u?A

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