5.5 The Substitution Rule/21: Difference between revisions
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<math> | <math> | ||
\int \frac{\cos{(\sqrt{t})}}{\sqrt{t}} dt = \int \sqrt{u} | \int \frac{\cos{(\sqrt{t})}}{\sqrt{t}} dt = \int \sqrt{u} | ||
</math> | |||
<math> | |||
\begin{align} | |||
u &=\pi t \\[2ex] | |||
du &= \pi\; dx \\[2ex] | |||
\frac{1}{\pi}du &= dx | |||
\end{align} | |||
</math> | </math> | ||
Revision as of 08:40, 7 September 2022
![{\displaystyle {\begin{aligned}u&=\pi t\\[2ex]du&=\pi \;dx\\[2ex]{\frac {1}{\pi }}du&=dx\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/7c2418f4bc086aa2cd3aadb1386f8fa76256387e)