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How to integrate ∫〖3x/√(1-x^2 ) dx〗?

We will use integration by substitution to solve this integral.

Let 1-x^2=sin^2(u)

This means that:

x^2=1-sin^2(u)=cos^2(u) (using the trigonometric identity sin^2(x)+cos^2(x)=1). The...

AO
Answered by Alma O. Maths tutor
8408 Views

Evaluate the advantages of perfectly competitive and monopolistic markets in the long run.

First, the key terms in the question should be defined; perfect competition, monopoly, and long run. This should be done in the first paragraph, to pick up to easy band 1 marks.

One could structure...

KT
3159 Views

What are adventages and disadventages of encryption network security?

Network security focused on encryption are strong in raw computer security - the computers can encrypt data fast enough and the encryption is reliable and difficult to break. However, it has its downfalls...

SJ
Answered by Sara J. Computing tutor
2006 Views

What is encapsulation?

Encapsulation is restricting data and actions to object they are defined in. In other words, no other object can access and modify them directly. In Java encapsulation can be achieved by making an object ...

SJ
Answered by Sara J. Computing tutor
2420 Views

The velocity of a particle is given by the equation v= 4t+cos4t where t is the time in seconds and v is the velocity in m s ^-1. Find the time t when the particle is no longer accelerating for the interval 0≤t≤2.

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by findin...

MB
Answered by Marc B. Maths tutor
6583 Views

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