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Maths
A Level

Integrate the function f(x) where f(x)= x^2 +sin(x) + sin^2(x)

Answer: Integral= x3/3+ x/2 - cos(x) -1/4 sin(2x) + C Using the general rule that integrating xn results in x(n+1)/(n+1), x2 integrates to x3/3.sin(x...

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Answered by Charlie H. Maths tutor
4062 Views

Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.

To find the answer you must first differentiate the function and set this equal to zero. This forms the quadratic equation x^2+2x-3=0 which can then be solved either by factorisation or by using the q...

AN
Answered by Alex N. Maths tutor
3339 Views

Why do we have to add the +c when integrating a function

First of all it is important to know that differentiation is the opposite of integration. So if we integrate some function g(x) and get f(x), it means that when we differentiate f(x) we should get g(x). W...

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Answered by Niraj S. Maths tutor
4120 Views

Solve the following equation: 5x - 1 = 3x + 7

5x - 1 = 3x + 75x = 3x + 82x = 8x = 4

DH
Answered by Daragh H. Maths tutor
4526 Views

Show, by first principles, that the differential of x^2 is 2x.

First I would draw a Diagram of y=x2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x2 we can then equate the sane point to (x, x2...

KJ
Answered by Kieren J. Maths tutor
2920 Views

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