Typsetting alternatives

Beauty is in the eye of the beholder. On the other hand, writing a math isn't different from writing a story.

\documentclass{article}
\usepackage{amsmath}

\begin{document}

Define the sequences
\begin{align*}
E(n) &= \int_{0}^{\pi} \sin^{2n+1}(x)\cos^{28}{x}\,dx \\
J(n) &= \int_{0}^{1} x^n(1-x)^n (1-2x)^{2n}\,dx
\end{align*}
and determine the ratio $E(a)/J(14)$ in decimal form, where $a$ is
\[
e^{\pi-1}\int_{-\pi/2}^{\pi/2} \frac{\tan^3{x} \sec^2{x}}{\tan^5{x}+\tan{x}}\,dx
\]
rounded to the nearest integer. Find a closed form using repeated
reduction formulae. (Avoid using Beta or Gamma functions.)

\end{document}