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First it's helpful to write f(x) = (x^0.5)ln(x)The product rule is useful here, this may be written in the form (u(x)v(x))' = u(x)v'(x) + u'(x)v(x).Here we will take u(x) = x^0.5 and v(x) = ln...
There are 3 methods for finding the range of a polynomial fucntion. This is good news because if you arrive at the same answer using these methods you wil be more confident that it is the correct answer.T...
The double angle formula is how to combine/split trigonometric functions so that they can be integrated or simplified using identities. For example, cos (a+b)= cos(a)cos(b) - sin(a)sin(b) , which can be e...
Simplify 125-2/3A negative indices means that we need to reciprocate the number or "flip it":125-2/3 = (1/125)2/3A fractional indices can be sp...
formula for volume of solid generated = 2pi x integral between limits of y2expand ( ex + 2e-x)2= e2x+4+4e-2xintegrate e2x+4+4e<...
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