Question

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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1/2 (or) 0.5

Step-by-step explanation:

1st calculate integral part.

∫ x²dx/(2x² - 10x + 25)

We can write it as,

=> ∫[((10x - 25/2(2x² - 10x + 25)) + 1/2)]dx

=> (5/2) ∫(2x - 5)/2x² - 10x + 25) dx + (1/2)∫1 dx    ----- (1)

=> 5 log(2x² - 10x + 25)/4 + x/2

=> 5 log(2x² - 10x + 25)/4 + (x/2) + C

Now,

Apply the upper bound and lower bound.

When x = 3.

=> 5 log(2 * 3² - 10 *  3 + 25)/4 + (3/2)

=> 5.57

When x = 2;

=> 5 log(2 * 2² - 10 *  2 + 25)/4 + (2/2)

=> 5.07

Thus, the result is 5.57 - 5.07 = 0.5 (or) 1/2

Hence, the answer is 1/2 (or) 0.5

#Hope my answer helped you!