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Question
Solve the following problem.
Evaluate the following integral: \[\int_1^5\] x dx
Sum
Solution
Using, \[\int_{a}^{b}\] f(x) dx = F(x)`|_"a"^"b"`
\[\int_{1}^{5}\] x dx = `"x"^2/2 |_1^5`
`= 5^2/2 - 1^2/2`
`= (25 - 1)/2`
`= 24/2`
= 12
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Introduction to Calculus
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Chapter 2: Mathematical Methods - Exercises [Page 29]
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