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

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The function f(x) is defined by f(x) = 1 + 2 sin (3x), − π/ 6 ≤ x ≤ π/ 6 . You are given that this function has an inverse, f^ −1 (x). Find f^ −1 (x) and its domain

Integrate sin7xcos3x

How does integration work?

Differentiate: sin(x) + 2x^2

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