12.Find ∫ x2 − 2x dx 52using First Principles. (Ans: 18)Hint: ∑ 1 =ni=1 n, ∑ i =n(n+1)2,ni=1 ∑ i2 =n(n+1)(2n+1)6

Question

12.Find ∫ x2 − 2x dx 52using First Principles. (Ans: 18)Hint: ∑ 1 =ni=1 n, ∑ i =n(n+1)2,ni=1 ∑ i2 =n(n+1)(2n+1)6
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Solution 1

The question seems to be asking for the integral of the function x^2 - 2x with respect to x from 5 to 2 using the first principles. However, the hint provided seems to be related to the sum of series, not to the integral of a function.

Here's how you can compute the integral:

  1. First, find the a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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Similar Questions

12.Find ∫ x2 − 2x dx 52using First Principles. (Ans: 18)Hint: ∑ 1 =ni=1 n, ∑ i =n(n+1)2,ni=1 ∑ i2 =n(n+1)(2n+1)6

rove by induction that for all n ∈ N,5 + 7 + . . . + (2n + 3)= ∑i=ni=1 (2i + 3) = n(n + 4)

2n(n − 1)/2 ∈ O(n3) b. 2n(n − 1)/2 ∈ O(n2)c. 2n(n − 1)/2 ∈ (n3) d. 2n(n − 1)/2 ∈ (n)

Express the limit as a definite integral on the given interval.lim n→∞ ni = 1xi*(xi*)2 + 8Δx,    [1, 3]1  dx

All the following sequences converge to 1 except ..........*1 pointv_n={ n/(2n+1) }u_n={ 2n/(2n+1) }w_n={ (1+n)/(7+n) }z_n={ (n+3)/(n+4) }

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