Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

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A: Option (1) is correct answer.. I have solved step by step in detail...go through the solution

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Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

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Q: 1. Find the area of the region bounded by the curves y = f(x) = √√x +4 and y = g(x) = -x . +2 2.…

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Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= ƒ(x) = √−2x −…

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Q: 1) di If f(x+k) dx=8, where k is constant, then -1 k+3 Shfl k-1 f(x) dx=?

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Q: A 114 ft tower is located on the side of a mountain that is inclined 43 degrees to the horizontal.…

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Q: 43. Let f(x) be a continuous function. Express (2) + (2) + + lim as a definite integral. +(A)

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Q: 5. y = 3sin (2x²)

A: Solution: Given data, y=3sin(2x^2)  dy/dx = d/dx [3sin(2x^2)]

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Q: Evaluate the integral (2x + 5) (x² + 5x + 9) ³dx 3 by making the substitution u = x+5x+9. + C NOTE:…

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Q: Exercise: Example: Graph the curve r=2(1+cos 0)

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Q: 3. Solve the IVP X 7 = (-43) ², x(0) 2 - (-²3) -5 =

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A: Please see the below picture for detailed solution.

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Q: Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D…

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