Recently published items

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

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

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 $kx e^{ax^2}$ using integration by substitution, where $k=2na$.

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 $ax \cos(x^2+b)$ 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 $\frac{\cos(x) \sin(x)}{(\sin(x)+a)^2}$ using integration by substitution.

Finding the stationary point (maximum) of a quadratic equation in a contextualised problem. 

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $nf(x)$.