5.3 The Fundamental Theorem of Calculus/15: Difference between revisions
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Use part 1 of the FTC to find the derivative of the function: | Use part 1 of the FTC to find the derivative of the function: | ||
<math>y=\int_{0}^{tan(x)}\sqrt{t+\sqrt t} dt</math> | <math>y=\int_{0}^{tan(x)}\sqrt{t+\sqrt t} dt</math> | ||
<math> | |||
\begin{align} | |||
y=\int_{0}^{tan(x)}\sqrt{t+\sqrt t} dt =\(sec)^2 | |||
Revision as of 19:13, 25 August 2022
Use part 1 of the FTC to find the derivative of the function: Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y=\int _{0}^{tan(x)}{\sqrt {t+{\sqrt {t}}}}dt}
<math> \begin{align} y=\int_{0}^{tan(x)}\sqrt{t+\sqrt t} dt =\(sec)^2