MathAnalysisCalculusIntegrals

Further Integrals

Finding the Impostor pt. 2

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Select the statements where the expression $f(x) = \int g(x) dx$ holds true.

Select one or more options from the list

f(x) = \frac{2\sin(x) + \sin(2x)}{2cos(x)}

and

g(x) = \frac{1 + \cos^3(x)}{1 - \sin^2(x)}

f(x) = e^x

and

g(x) = e^x

f(x) = \frac{2\sin(x) + \sin(2x)}{2cos(x)}

and

g(x) = \frac{1 + \cos^2(x)}{1 - \sin^2(x)}

f(x) = 5^x + 2\sin(x)

and

g(x) = 5^x \cdot \ln(5) + 2\sin(x + \pi/2)

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