Definite Integral Calculator Problem

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The discussion centers on a discrepancy in calculating the definite integral 4π∫{0,3/2}(x^3)dx. The user, Isaac, finds that his manual calculation and TI-89 yield 81π/16, while his TI-36X Pro and an online calculator provide 15.904, which corresponds to 5π/16. A responder confirms that 81π/16 is indeed approximately 15.90431, indicating that Isaac's manual and TI-89 calculations are correct. The issue appears to be with the interpretation or input of the integral in the other calculators. Clarification on the correct method or input format may be necessary for consistent results.
poiboi86
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Hi.

Homework Statement



I'm solving the definite integral 4π∫{0,3/2}(x^3)dx

For some reason I get a different answer solving by hand and using my TI-89 than I do when I use an online calculator or my TI-36X Pro. I have to use the TI-36X Pro to take my Engineering FE exam in 2 & 1/2 weeks and need to know why I'm getting these different answers.

Does anyone see what I'm missing?

The Attempt at a Solution



Solving by hand I get πx^4|{0,3/2} = π(3/2)^4 - 0 = 81π/16

This is also what the solution shows, and what my TI-89 calculator gives me as an answer.
But for some reason when I type that same integral into my TI-36X Pro calculator, or an online integral calculator like: <http://www.solvemymath.com/online_math_calculator/calculus/definite_integral/index.php>
I get the answer 15.904 which is 5π/16.


Thank you very much!
Isaac
 
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The first answer is correct. 81π/16=15.90431. 5π/16=0.98174. I don't think there is anything wrong the calculators.
 
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