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This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our ...

9^3x+1 =(3² )^(3x+1) =3^6x+2

a+a+4 = -p/5a+2 = -p/10(a+2)sqaured = q/5 +4p sqaured/100 = q/5 +4p sqaured = 100(q/5 +4)implies p squared = 20q+400

Use the chain rule to do this. First set u= x^2 + 1. We chose u to be this because u^1/3 is much simpler to differentiate. Then find du/dx = 2x. Now find dy/du = 1/3 * u^-2/3 = 1/3 * (...

When you see the question asking you to find the gradient at a point in the curve, the first thing you have to do is differentiate. This is because when we differentiate,...