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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
17591 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
5286 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
4495 Views

factorise and hence solve x^2 + 10x +18 = -3

x = -3 , x= -7

BW
Answered by Billy W. Maths tutor
3591 Views

solve the following simultaneous equations 4x + 6y = 16 and x + 2y = 5

x = 1, y = 2

BW
Answered by Billy W. Maths tutor
3995 Views

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