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| ff Find the approximate value of ∫282xdx by using 6 rectangles of equal width. ff |
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| ff Approximate ∫17(x - 3)² by using 12 rectangles of equal width. ff |
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| ff What is the area of the region bounded by y = 2x², x-axis and the lines x = 0, x = 1 in sq.units? ff |
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| ff Find the total volume of oxygen inhaled in the first 20 minutes after the beginning of the ride, from the graph which shows the rate of inhalation of oxygen by a person riding a bicycle very rapidly for 10 minutes. Use rectangles of width 1unit. ff |
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| ff Find the area (in square units) of the region bounded by y = x² - 2x + 4, x - axis and the lines in x = -1, x = 1 . ff |
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| ff Find the area of the region bounded by y = x² - 6x + 8, x- axis and the lines x = 2, x = 4 in sq.units. ff |
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ff What is the area of the region bounded by the curve y = 4x + 3, x-axis and the lines x = 0, x = 1 ?
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| ff The rate of change of the maintenance charges per every half-year of a machine is shown. Find the total maintenance charges over the 6 year life of the machine. ff |
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| ff Evaluate the area of the region bounded by y = 1x, x-axis and the lines x = 1,and x = 2 in sq. units. ff |
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ff Find the area of the region bounded by y = ln x, x-axis and the lines x = 1 and x = 3 in sq.units.
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| ff Find the area of the region bounded by y = x3, x-axis and the lines x = - 1, x = 1 in sq.units. ff |
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| ff Find the area under the graph of f(x) = 2x from x = 1 to x = 6 . Approximate the area by dividing the interval into 10 rectangles. ff |
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| ff Obtain the area of the region bounded by y = - ex, x-axis and the lines x = -1 and x = 1 in sq. units. ff |
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ff Find the approximate area under the graph of f(x) = x² + 5 from x = 1 to x = 3 by using four rectangles.
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| ff Find the area of the region bounded by y = 2x, x-axis and the lines x = -1, x = 0 in sq. units. ff |
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| ff What is the area of the region bounded by y = f(x) = x4, x-axis and the lines x = - 1 and x = 1 in sq.units? ff |
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| D Find the approximate value of ∫27(x³ + 2x) by using 10 rectangles of equal width. D |
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| D Approximate ∫14(2x + 5)dx by using 6 rectangles of equal width. D |
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| D Find the area bounded by the straight line, x-axis and the lines x = 1 , x = 4 by using 6 outer rectangles of same width. D |
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D Find the approximate value of ∫-22(ex + 1)dx by using 8 rectangles of equal width.
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| D Find the area bounded by the shown curve, x-axis in between x = 1 & x = 4, by taking 6 rectangles of equal width. D |
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| D Find the area bounded by the shown curve, x-axis in between x = 1 and x = 5 by taking 8 rectangles of equal width. D |
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D Find the approximate value of ∫02(x² + 1)dx by using 4 rectangles of equal width.
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| D Find the area of region bounded above by y = x3 and below by y = x4 over [0, 1] in sq. units . D |
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| D Find the approximate value of ∫143xdx by using 6 rectangles of equal width. D |
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