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Integrate x*ln(x)

This example provides us with a better understanding of how "Integration by parts" works. Building an extensive knowledge of Integral calculus requires a lot of work, but once the basics are fully ...
MM
Answered by Maximilian M. • Maths tutor
7340 Views

Find the values of x for the equation: x^2 - 8x = 105

When presented with an equation that involves x^2, it is likely to be a quadratic equation. This leads us to rearrange to the equation above into the form of ax^2 + b + c = 0. Therefore the equation can be r...
DM
Answered by Dhulaxy M. • Maths tutor
7098 Views

Solve the following to find x. x^2 +3x -10 =0

This is an example of a quadratic equation. One way of solving it wwould be to use the quadratic formula. You can subsitute the values of a, b and c into the formula where a=1 b=3 and c=-10. This will give 2...
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Answered by Nathan C. • Maths tutor
12719 Views

A circle with centre C has equation x^2 + y^2 + 2x + 6y - 40 = 0 . Express this equation in the form (x - a)^2 + (x - b)^2 = r^2. Find the co-ordinates of C and the radius of the circle.

We can express the equation of any circle in the form (x - a)^2 + (y- b)^2 = r^2 . The centre of the circle is then the point (a, b) and its radius is r . If we multiply out the brackets in the equation abov...
BK
Answered by Baran K. • Maths tutor
13235 Views

The line AB has equation 3x + 5y = 7. What is the gradient of AB?

The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a . So we need to get the equation 3x + 5y = 7 into the above form, with y on one side on its own! We first move t...
BK
Answered by Baran K. • Maths tutor
8866 Views