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What are the examiners looking for in the essay?

At A-Level the examiners are looking for more than a description. They want to see that you truly understand and therefore look for an analysis. This involves identifying a key feature and then explain...

Answered by Jenifer M. • Music tutor

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Prove that the indefinite integral of I = int(exp(x).cos(x))dx is (1/2)exp(x).sin(x) + (1/2)exp(x).cos(x) + C

Starting with the initial integral of int(exp(x).cos(x))dx we can see that this is going to have to be integrated by parts. This states that the integral of (u . dv/dx)dx is equal to u.v - int(v . du/d...

Answered by Sammy A. • Maths tutor

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A curve has the equation y = x^4 - 8x^2 + 60x + 7. What is the gradient of the curve when x = 6?

To find the gradient of any curve, we take the derivative. So in this case, we need to take dy/dx. We do this by multiplying the term by the power on x, and then lowering the power by one. For example, fo...

Answered by Elizabeth H. • Maths tutor

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