In Problems 21–26, use the description of the region R to evaluate the indicated
26.
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- 3.aarrow_forward3. Use the graph and the actual areas of the indicated regions to evaluate the integrals in the following problems. a. b. C. d f(x) dx = f(x) [*1x) dx = 5 'b d f(x) dx = f(x) A a B b с \y = f(x) Area A = 1 Area B = 2 Area C = 2 →x Area D = 0.6arrow_forward9. Write as a single integral in the form f(x) dx. 2 5 -1 f(x) dx -3 f(x) dx - , f(x) dx f(x) dxarrow_forward
- _1. What is the integral that describes the enclosed region between y = 4x- x² and the x- axis ? A. S(4x – x*) – x]dx B. (4x - x]dx C. x dx D. [4x - x] dx 2. What is the area of the enclosed region in problem number 1? A. 10.67 sq. units B. 21.33 sq. units C. 24 sq. units D. 25 sq. units 3. For the enclosed regions bounded by y = x-6x and y = -2x in the graph, what is the integral that describes the enclosed regions? A. (x - 6x) dx B. , (x - 6x - 2x) dx c. . (x-6x) dx + -2x dx D. , (x-4x) dx + (-x + 4x) dx _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units 5. Given the x dx, which of the following is the integrand? A. 0 В. 2 C. 8 sq. units D. 4 sq. units C. x D. dxarrow_forward10. The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*f(x) dx + [° g(x) dx, where aarrow_forwardQuestion 8. Use a change of variable to compute the integral 10 R x+ y where R is the triangular region bounded by the line x + y = -1 and the coordinate axes.arrow_forwardcan i get step by step help pleasearrow_forward1. (a) Find ALL of the points where the following curves intersect; (r - 3)2 4.x Y2 = 1+ 5 Y3 = 6-r (b) Using a well proportioned and neatly drawn graph of these three curves, identify the area which lies above y1, and below y2 and below y3- (c) Using integral calculus, calculate the area defined in part (b) of this question.arrow_forward2. S. dA, D = {(x, y)|0 < x x5+1 1, 0 < y < x²}arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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