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Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution. $n$ is a positive or negative fraction.

Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $af(x)$.

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Calculating the integral of a function of the form $ax \cos(x^2+b)$ using integration by substitution.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $af(x)$.

Calculating the integral of a function of the form $\cos(x) \sin^2(x)$ using integration by substitution.

Calculating the integral of a function of the form $kx e^{ax^2}$ using integration by substitution, where $k=2na$.

Calculating the integral of a function of the form $\frac{n}{(x+a)(x+b)^2}$ using partial fractions.

Interpreting a p-value given the hypothesis.  Common misconceptions.