Use the figure below to write a definite integral that represents the area enclosed by the two functions: 3 2 f(x) -1 3 6 g(x). 2 x – x² -1

Q: Use the Fundamental Theorem of Calculus to evaluate each of the following integrals. 3 (a)…

A: Evaluate the given integrals

Q: Evaluate the definite integral: 3 ƒ³₁ x(x² + 1)³/² dx. Give your answer correct to 2 decimal places.

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Q: J te √x5 + 1 dx

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Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x) = 2 –…

A: The given function is fx=2-x3 and the given interval is -27,-1. We know that the area of the region…

Q: Find the indefinite integral and check the results by differentiation (4x² + 3)²dx 10NI 1SU F10 F11…

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Q: Evaluate the definite integral. dæ

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Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: [7] Use long division and complete the square to solve the following integral. x² - 4x-2 dx x² -…

A: Explanation of the answer is as follows

Q: dy Solve the differential equation y -dx

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Q: Write the following as a single integral: A. g(x) dx B. g(x) dx C. f(x) dr D. L9 dx 9(x) dx E. [9(x)…

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Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

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Q: 00 dx 1 3 x³ (x²-9)Z x2.

A: Let I is the value of given Integral.

Q: 2 1². Evaluate I e4-22² dx needed, round part b to 4 decimal

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