Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

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A: Explanation of the answer is as follows

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A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ &lt;1 , then...

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A: Given  ∫5x2-3 x dx

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Q: Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3I...

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Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

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Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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A: The given function,          fx=2x-1-1

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Q: Consider the integral 3e 2 dx . Using u-substitution, what is the appropriate u and du? 2e -2r A u =...

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A: Topic:- sequence and series

Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 2 3 4 5 P5(x) = 1-x+ 6 24 120 ...

A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

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Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 Σ f(x) n = ...

A: Explanation of the answer is as follows

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Q: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration