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There are a few ways to go about this question. I will do a substitution using u=(x+2)^1/2. From this equation we need to find x in terms of u, the new limits of the integral and dx in terms of ...

When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x²-8x-3 factorises to (3x+1)(x-3). N...

x = -4.8x = -3

x=4,y=3

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