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

Answer: Integral= x 3 /3+ x/2 - cos(x) -1/4 sin(2x) + C Using the general rule that integrating x n results in x (n+1) /(n+1), x 2 integrates to x 3 /3.sin(x) is integrated to -cos(x)To integrate sin 2 (x), ...
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Answered by Charlie H. • Maths tutor
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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+2 x-3=0 which can then be solved either by factorisation or by using the quadrat...
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Answered by Alex N. • Maths tutor
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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). We d...
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Answered by Niraj S. • Maths tutor
5402 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
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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 that b...
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Answered by Sofya E. • Maths tutor
21818 Views