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Use the substitution u = 2^x to find the exact value of ⌠(2^x)/(2^x +1)^2 dx between 1 and 0.

First thing to notice here is that this question tells us exactly what method they want us to use, subsitution, and what to substitute. Hence the first step is to turn the integral provided which is curre...

AM
Answered by Alexander M. Maths tutor
17845 Views

Solve the simultaneous equations to find the values of x and y: 3x + 5y = -4 and 10x - 4y = -34

Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

TD
Answered by Tutor112326 D. Maths tutor
5372 Views

Differentiate y =cos^4(x)

Let u = cos xdu/dx = -sin xy = u4dy/du = 4u3dy/dx = dy/du * du/dx = (4u3 ) * (-sin x) = 4 cos 3 x * -sin x = -4 cos 3 <...

CK
Answered by Christiyan K. Maths tutor
4582 Views

How do I know what content will appear on my HAT question 2 when I'm not studying the same periods as anybody else?

The university specifically designs the HAT to ensure that anybody who does some form of history can answer it. Section two on the paper will be deliberately open, so you don't have to worry about knowing...

EL
Answered by Evie L. HAT tutor
2171 Views

How do I apply mathematical induction to answer questions

If you are familiar with induction but unsure how to answer the types of questions that require it, a structure can be useful.
Even when confident, it will help an examiner to see where to award you ...

OM
2717 Views

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