Consider the graph of the function f(x): ya -2. 0 2 (a) 4 y = f(x) 6 8 Evaluate the following integrals by interpreting them in terms of areas: S [ ² f(x) dx = 5 (b) f f (x) dx = x 7 (c) √ ² f (x) dx = = (d) [² f(x) dx =

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

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Q: Let f f(x)dx = 8 and f(f(x))²dx = 9. Find the following integrals: So cf(z)dz = f(f(x))²dx − (f…

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Q: O Below are the graphs of functions p(x) and q(x). p(x) q(x)

A: here we have to carefully observe the graph and then answer accordingly to the questions asked.

Q: 3x2-9x-34 1. S- dx x2-2x-24

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Q: The graph of the function f(x)=25-x² is given below. Which of the following definite integrals…

A: we use integration method to find area given  f(x)=25-x2formula for area is A=∫abf(x)dx

Q: x²+2x+1 dx (x+2)(x−1)²

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Q: The following picture is the graph of the function y = f(t). 1 1/2 Consider g(x): = / f (t)dt. Find…

A: 2a) From x=0 to x=1 there is a triangle of base=1 and height =1  So we have to find the area of the…

Q: 6. Use the Fundamental Theorem of Calculus to find the derivative. Sketch a graph for each region. 1…

A: .  Derivative using the fundamental theorem of calculus is    .Derivative using the fundamental…