GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The integration of xdx is
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x²/2
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x/2
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x²/4
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x/3
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Explanation:
Detailed explanation-1: -The formula for integration of x is given as ∫x dx = x22 x 2 2 + C. where C denotes the constant of integration. Integrals are used to represent a family of curves which implies that the value of the integral will not be unique.
Detailed explanation-2: -The integral of e to the 2x is e2x/2 + C. This is mathematically written as ∫ e2x dx = e2x/2 + C. Here, ‘∫’ is the symbol of integration.
Detailed explanation-3: -Answer: The integral of 1/x is log x + C. Hence, ∫x-1 dx = x0/0 = undefined. Also, we add a constant C to it if it’s an indefinite integral. By specifying the limits of the integral we can find its specific value.
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