Evaluate: intxcos^3(x^2)sin(x^2)dx...

Evaluate: `intxcos^3(x^2)sin(x^2)dx`

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Evaluate: int1/(1-cotx)\ dx
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Evaluate: int1/(sinx+cosx)\ dx
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Evaluate the following integrals : int(x^3-3x^2+5x-7+x^2a^x)/(2x^2)dx
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Evaluate the following integrals : int(atanx+bcotx)^2dx
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Evaluate: int2/(2+sin2x)dx
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If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .
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Evaluate the following integrals : int{3sinx-4cosx}dx
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If f^(prime)(x)=8x^3-2x ,f(2)=8, find f(x)
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