Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and 1/3 sq. units 3 sq. units 1 and 1/6 sq. units None of the Above

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A: This question can be solved by the concept of limits and definite integrals.

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A: Given: ∆=|2-52-1|

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A: follow next step

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A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

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A: Finding the value of determinant

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A: If Fx=∫exe et2 dt, then to find F1 and F'x.

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A: Average value of a function f(x) on [a,b] is given by, V=1b-a∫abf(x)dx

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A: Please refer to the image below

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A: to evaluate: -431-3

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A: topic- definite integral

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A: The given integral:∫01x3x+1We need to evaluate the definite integral.

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