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Use the chain rule: dy/dx = dy/du * du/dx
Let y = ln(2x^3+x+8)Let u = 2x^3+x+8
dy/dx = d/dx (ln(2x^3+x+8)) = dy/du * du/dx
dy/du = 1/udu/dx = 6x^2 + 1
dy/dx = 1/u * (6x^2 + 1) = (1/(2x...

Muslims believe marriage is a contract which cannot be broken. It is seen as a last resort. Both men and women can request divorce.

First we must ensure that the differential is i the standard form of y' + p(x) y = f(x)The we use the integration factor I(x) = e to the integral of p(x)we then realise that if we differentiate this we wi...

Pythagoras’ theorem is the formula used to calculate any side of a right-angled triangle. The concept is that the square of the hypotenuse is equal to the sum of the squares on the other two sides. Assign...

So to integrate this function we would need to use a method called Integration by parts that you may have come across in your studies.
This is where we separate the function into two parts to make it...