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

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

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

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 $\frac{nx+k}{(x+a)(x+b)(x+c)}$ using partial fractions.

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

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

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

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Calculating the integral of a function of the form $e^{ax} \cos(x)$ using integration by parts.

Calculating the integral of a function of the form $\ln(ax)$ using integration by parts.

Calculating the integral of a function of the form $ax^2 e^{bx}$ using integration by parts.