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

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 $x(ax^2+b)^n$ using integration by substitution.

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

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

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

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

Calculating the integral of a function of the form $n x e^{ax^2}$ using integration by substitution.

Calculating the integral of a function of the form $\frac{nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

Match the greek letter to its pronunication.  15 common letters.