Why Is the Integral Result 175/3 Instead of 45?

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In summary, the speaker integrated y using the upper limit of 5 and lower limit of 2 in order to get the result of 45/3, but the correct answer should have been 175/3. This discrepancy may be due to a typo or calculation error by the person who set the question. Additionally, using the notation (1/3)x^3 instead of 1/3x^3 can help avoid confusion.
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homeworkhelpls
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i integrated y to get (1/3x^3 + 2x) with upper limit 5 / lower limit 2 but got 45 not 175 / 3
 
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homeworkhelpls said:
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i integrated y to get (1/3x^3 + 2x) with upper limit 5 / lower limit 2 but got 45 not 175 / 3
Both Wolfram Alpha and I agree with you.
 
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Me too!
 
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  • #4
The integral would evaluate to 175/3 if the lower limit were x=-2. I suspect a silly typo or calculation slip by the question setter.
 
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  • #5
homeworkhelpls said:
View attachment 321610
i integrated y to get (1/3x^3 + 2x) with upper limit 5 / lower limit 2 but got 45 not 175 / 3
Just a notation tip. 1/3x^3 can be misread as 1/(3x^3) placing the x^3 in the denominator. To be precise, we can instead write (1/3)x^3 to ensure x^3 is in the numerator and not mistakenly placed in the denominator.
 

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