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- 00:36, 28 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (c) (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...")
- 00:31, 28 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Solution 1 (Created page with "First, use linearity if the integral to write <math display="block"> \begin{align} \int_0^3 (f(x) g(x) )dx = \int_0^3 f(x) dx + \int_0^3 g(x) dx. \end{align} </math> Next, we write <math> \int_0^3 f(x) dx = \int_0^5 f(x) dx -\int_3^5 f(x) dx</math> and use the given values of the integrals to compute <math display="block"> \begin{align} \int_0^3 (f(x) g(x) )dx = \int_0^5 f(x) dx -\int_3^5 f(x) dx + \int_0^3 g(x) dx = 3-2+7=8. \end{align} </math>")
- 00:20, 28 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Hint 1 (Created page with "Recall that for any integrable function <math> h(x) </math> defined on an interval <math> (a,c) </math>, and any <math> a < b < c </math>, we have that <math> \begin{align} \int_a^c h(x) dx = \int_a^b h(x) dx + \int_b^c h(x) dx. \end{align} </math>")
- 00:08, 28 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Statement (Created page with "Let <math> f(x) </math> and <math> g(x) </math> be integrable functions. If <math display="block"> \begin{align} \int_3^5 f(x)dx = 2, \ \ \int_0^5 f(x) dx = 3, \ \ \int_0^3 g(x) dx = 7, \end{align} </math> then find and simplify <math> \int_0^3 (f(x) + g(x)) dx </math>.")
- 23:56, 27 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a) (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...")
- 23:51, 27 January 2026 AlanGetz talk contribs created page Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01/Statement (Created page with "Let <math> f(x) </math> and <math> g(x) </math> be integrable functions. If <math display="block"> \begin{align} F(x)=\int_0^{x^2}\frac{4-t}{1+\cos^2(t)}dt. \end{align} </math>")
- 21:33, 21 January 2026 User account AlanGetz talk contribs was created automatically