The table is given. I f(s) Evaluate S O ln 5 1 0 f'(z)f(z) 1+(f(z))² O tan (3)-tan ¹(1) tan ¹(-3)-tan ¹(1) -dz 31 62 9 -3 12 -1

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A: Here limit are not given so we integrate only without using of limit.

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A: To find the derivative of .

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A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

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Q: (A) (6)-1 (c) のI

A: Any number between - 1 to 1 multiply with zero is zero so limit is zero.

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A: Since you have asked multiple questions in single request  so we  will be answering only first…

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Q: S sec° (x) dx Select one: sec“(x) cot(x) O see't) col62) + ¿( sec(x) tan(x) + ¿In|tan(x) + sec(x)|)…

A: We will use bi parts to solve these type of integral.

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A: Please see the below picture for detailed solution.

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Q: sin' Acos e de. (b) cosA de. Aus. (a) 37/256. (b) 5T/8 Evaluate (a)

A: (a). We use Gamma function to evaluate the given integral. (b). We reduction formula of cos(x), to…

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