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using integration by parts evaluate the integral of xsinx between x=0 and x =pi/2

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A general function f(x) has the property f(-x)=-f(x). State a trigonometric function with this property and explain using the Maclaurin series expansion for this function why this property holds. Write down the integral in the limits -q to q of f(x) wrt x

Factorise x^3-6x^2+9x.

Integrate ln(x) wrt dx

Differentiate with respect to x: y = xln[2x]

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