The discussion centers on evaluating the definite integral of the function (3/x² - 1) from 1 to 2, with the confirmed answer being 1/2. The participant initially miscalculated the antiderivative, mistakenly applying the power rule incorrectly. After correcting their approach, they derived the correct antiderivative and verified their result using the Fundamental Theorem of Calculus, confirming the answer through differentiation.
PREREQUISITESStudents studying calculus, educators teaching integral calculus, and anyone looking to improve their understanding of the Fundamental Theorem of Calculus and integral evaluation techniques.
Take the derivative to check your answer. Is it correct?thegoosegirl42 said:I tried taking it to make it -x^-3 - 1x as the antiderivative
Gosh dang it I was going down in exponent when I should have been going up. The new derivative would be -3x^-1 -1x making the answer be -3.5+4 Thus the answer is .5. Thank you so much.Nathanael said:Take the derivative to check your answer. Is it correct?