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Integrate ln(e^x)

This kind of question demonstrates the fact that certain problems can be expressed in much simpler ways so they be easily solved.  In this particular example the question can be simplified to "int...

AT
Answered by Adam T. Maths tutor
15035 Views

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 ...

MM
Answered by Maximilian M. Maths tutor
6376 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 ca...

DM
Answered by Dhulaxy M. Maths tutor
6014 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 ...

NC
Answered by Nathan C. Maths tutor
11262 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 ...

BK
Answered by Baran K. Maths tutor
12543 Views

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