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First of all note the dx means that we are integrating with respect to x.

So lets integrate each term seperately..

3x^2 ---> (raise the power by one then divide by the ne...

Fristly, we should integrate the whole equation,

y=∫ 6-8x+x^4 dx

y=6x-4x^2+x^5/5+C

Then, subsitituting values to find the C,

4=61-41^2+1...

As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx)

5x² -> 10x (multiply t...

A country is likely to benefit from higher rates of GDP growth. This is because access to a greater market size means greater export potential for countries like Malawi to exploit their comparative adv...

A carbonyl is either a ketone or an aldehyde. In order to see whether the carbonyl group is present (C double bond O), 2,4-dinitrophenylhydrazine must be used. If an orange/yellow precipate is formed, ...