Difference between revisions of "009B Sample Final 2, Problem 1"
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| − | + | ::<span class="exam">a) State '''both parts''' of the Fundamental Theorem of Calculus. | |
| − | |||
| − | <span class="exam"> | + | ::<span class="exam">b) Evaluate the integral |
| − | < | + | ::::<math>\int_0^1 \frac{d}{dx} \bigg(e^{\tan^{-1}(x)}\bigg)dx</math> |
| − | <span class="exam">c) | + | ::<span class="exam">c) Compute |
| + | |||
| + | ::::<math>\frac{d}{dx}\int_1^{\frac{1}{x}} \sin t~dt</math> | ||
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 20:07, 17 February 2017
- a) State both parts of the Fundamental Theorem of Calculus.
- b) Evaluate the integral
- 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://wikimedia.org/api/rest_v1/":): {\displaystyle \int_0^1 \frac{d}{dx} \bigg(e^{\tan^{-1}(x)}\bigg)dx}
- c) Compute
- 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://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{d}{dx}\int_1^{\frac{1}{x}} \sin t~dt}
| Foundations: |
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Solution:
(a)
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| Step 2: |
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(b)
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| Step 2: |
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(c)
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |
| (c) |