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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
4224 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...

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Answered by Alex N. Maths tutor
3593 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
4394 Views

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

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

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Answered by Daragh H. Maths tutor
4764 Views

Solve the simultaneous equations 3x + y = -4 and 3x - 4y = 6

When solving simultaneous equations our goal is always to use the equations given, which each have two unknowns in them, in order to find an equation with only one unknown. In this example, we can see tha...

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Answered by Sofya E. Maths tutor
19494 Views

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