5.3 The Fundamental Theorem of Calculus/9: Difference between revisions
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\frac{d}{dy}\left[g(y)\right] = \frac{d}{dy}\left[\int_{2}^{y}t^2\sin{(t)}dt\right] | \frac{d}{dy}\left[g(y)\right] = \frac{d}{dy}\left[\int_{2}^{y}t^2\sin{(t)}dt\right] | ||
= 1\cdot(y^{2}sin{(y)})-0\cdot(2^{2}sin{(2)})</math><br> | |||
<math>= y^{2} sin{(y)}</math> | <math>= y^{2} sin{(y)}</math> | ||
Revision as of 19:52, 6 September 2022
![{\displaystyle {\frac {d}{dy}}\left[g(y)\right]={\frac {d}{dy}}\left[\int _{2}^{y}t^{2}\sin {(t)}dt\right]=1\cdot (y^{2}sin{(y)})-0\cdot (2^{2}sin{(2)})}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/88b9e33786a11e12c0346498f9838311e074d4b2)
