5.5 The Substitution Rule/7: Difference between revisions
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<math> | <math> | ||
\int\ | \int\xsin{(x^{2})}dx | ||
</math> | </math> | ||
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\begin{align} | \begin{align} | ||
\int\xsin{x^{2}}dx &=\frac{1}{2}\int\sin{u}du \\[2ex] | \int\xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{u}du \\[2ex] | ||
&= -\frac{1}{2}cos{u}+C | &= -\frac{1}{2}cos{u}+C | ||
Revision as of 16:54, 7 September 2022
Failed to parse (unknown function "\xsin"): {\displaystyle \int\xsin{(x^{2})}dx }
![{\displaystyle {\begin{aligned}u&=x^{2}\\[2ex]du&=2xdx\\[2ex]{\frac {1}{2}}du&=dx\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/d3662e4ad2b3d50be2a69669e39b54ac46042ca4)
Failed to parse (unknown function "\xsin"): {\displaystyle \begin{align} \int\xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{u}du \\[2ex] &= -\frac{1}{2}cos{u}+C &= -\frac{1}{2}cos{x^{2}}+C \end{align} }