5.5 The Substitution Rule/7: Difference between revisions

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& \cfrac{1}{2} \cdot (cos(x^2)) \\[2ex]
& \cfrac{1}{2} \cdot (cos(x^2)) \\[2ex]


& -\cfrac{cos(x^2)}{2}
&= -\cfrac{cos(x^2)}{2} +C





Revision as of 06:39, 1 September 2022

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} & \int{x\cdot sin{(x^2)}} dx \\[2ex] & \int \cfrac{sin(t)}{2} dt \\[2ex] & \cfrac{1}{2} \cdot \int{sin(t)} dt \\[2ex] & \cfrac{1}{2} \cdot (cos(x^2)) \\[2ex] &= -\cfrac{cos(x^2)}{2} +C \end{align} }