Graph the region and use the Fundamental Theorem of Calculus to find the area under the curve using a definite integral. S(3x2 – 2)* x dx 1. Si 3x-1 dx 2. Find the indefinite integral using the Chain Rule/U-substitution. 3. 6x dx

Q: Complete the table by identifying u and du for the integral. [ r(g(x))g'(x) dx [x²√x³ +4 dx U = u =…

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Q: (4g(x) – 1) dx. -3

A: Given: ∫-364g(x)-1 dx To find: The definite integral.

Q: Evaluate the integral f cosh x -dx cosh? x-1

A: Given, Evaluate ∫coshxcosh2x-1dx

Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 =…

A: Using one of the formulas, we can solve the question

Q: Evaluate the definite integral (2 + x) dx by first sketching the region and then using a geometric…

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Q: use the Antiderivatives and Definite Integrals Theorem to evaluate the integrals. 3 2 3 2 6x- dx J…

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Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: Use the indicated substitution to evaluate the integral. 9csc (3x)cot (3x)dx, u= 3x 9csc (3x)cot…

A: Given that: ∫9csc(3x)cot(3x)dx