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Study Stuff for MCA Examinations

Study Stuff for MCA Examinations

If $a{\lt}b$ then $\int ^b_a\Bigg{(}|x-a|+|x-b|\Bigg{)}dx$ is equal to

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Let be defined by . Find

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If and , then the value of is

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Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of

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Evaluate dx

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Using Property

If where n is a positive
integer, then the relation between I_{n} and I_{n-1} is

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The value of depends on the

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The value of $\int ^{\pi/3}_{-\pi/3}\frac{x\sin x}{{\cos }^2x}dx$ is

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