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If the integral I = int x^(sin x)(cos x ...

If the integral `I = int x^(sin x)(cos x cdot 1n x + (sin x)/x)dx, = (f(x))^(g(x)) + c (AA x > 0)` then the range of `y = g(x)` is (where, c is an arbitrary constant)

A

[-1,1]

B

[0,1]

C

[0,1)

D

(-1,1)

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A
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  • The solution of the differential equation (3x^(2) sin (1/x) + y) dx = x cos (1/x) dx -x dy is (where, c is an arbitrary constant)

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