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| fff Approximate ∫17(x - 3)² by using 12 rectangles of equal width. fff |
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| fff Find the approximate value of ∫282xdx by using 6 rectangles of equal width. fff |
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| fff 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. fff |
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| fff What is the area of the region bounded by y = 2x², x-axis and the lines x = 0, x = 1 in sq.units? fff |
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| fff 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. fff |
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| fff 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. fff |
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fff 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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| fff Find the approximate value of ∫27(x³ + 2x) by using 10 rectangles of equal width. fff |
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| fff 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 . fff |
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| fff Approximate ∫14(2x + 5)dx by using 6 rectangles of equal width. fff |
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| fff Find the area of the region bounded by y = x² - 6x + 8, x- axis and the lines x = 2, x = 4 in sq.units. fff |
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| fff 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. fff |
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fff Find the approximate value of ∫-22(ex + 1)dx by using 8 rectangles of equal width.
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| fff Find the area bounded by the shown curve, x-axis in between x = 1 & x = 4, by taking 6 rectangles of equal width. fff |
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fff 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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| fff Evaluate the area of the region bounded by y = 1x, x-axis and the lines x = 1,and x = 2 in sq. units. fff |
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fff 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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| fff Find the area of the region bounded by y = x3, x-axis and the lines x = - 1, x = 1 in sq.units. fff |
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| fff Obtain the area of the region bounded by y = - ex, x-axis and the lines x = -1 and x = 1 in sq. units. fff |
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| fff Find the area bounded by the shown curve, x-axis in between x = 1 and x = 5 by taking 8 rectangles of equal width. fff |
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| fff Find the area of the region bounded by y = 2x, x-axis and the lines x = -1, x = 0 in sq. units. fff |
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| fff 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? fff |
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fff Find the approximate value of ∫02(x² + 1)dx by using 4 rectangles of equal width.
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| fff Find the area of region bounded above by y = x3 and below by y = x4 over [0, 1] in sq. units . fff |
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| fff Find the approximate value of ∫143xdx by using 6 rectangles of equal width. fff |
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