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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...

SA
Answered by Sammy A. Maths tutor
6066 Views

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...

EH
Answered by Elizabeth H. Maths tutor
5818 Views

What are the key points of Sutherland's (1939) Theory of Differential Association?

Key points include:

Criminal behaviour... 

1) is learnt. Southerland is behaviourist in this respect.

WL
11808 Views

How to learn vocab?

Learning vocab is not easy and different methods work for different people. Here are just a few suggestions of ways to try...

Mind maps
I find it very effective to categorise...

ES
Answered by Ellie S. Spanish tutor
3004 Views

Integrate xsin(x) by parts between the limits of -pi/2 and +pi/2

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