15. The velocity of a particle moving along the x-axis is given by 8. v(t) %3D 12 - 10t +26 for t 2 0, measured in meters per second. What is the total distance, in meters, the particle travels from t = 5 tot = 6 seconds? (A) In(2) (B) (C) In(256) (D) 2z

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A: By using integration formula, we calculate the given integral.

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A: Here the given function as,

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A: Using substitution method to variable separable form.

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A: f(x)=2x and g(x)=x-4

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A: The objective is to prove that if p is a prime number, a and b are positive integers and p | ab,…

Q: Q.2 Evaluate : P;(x)dx=

A:

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A: We will differentiate the given expression using the product rule and then put X equal to 2

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A:

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A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

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A: This question is related to indefinite integration, we will solve it using given information.

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