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Answered by Sarah V. • Maths tutor
4521 Views

What is the indefinite integral of (x^4)*(-sin(x)) dx

Use integration by parts. Let u = x^4 and let dv/dx = -sin(x). Find du/dx = 4x^3 and fin v = cos(x). Use the equation uv - int (v du/dx) = x^4 cos(x) - 4((x^4/4)*(sin(x)) = x^4 cos(x) - x^4 sin(x) = x^4 (cos...
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Answered by Sarah A. • Maths tutor
10830 Views

Simultaneous Equations

So I’ve set out a sheet with a few examples of how to do simultaneous equations. The first method shows a simple graphic representation where you can get an estimate of the solutions, but I then show how thi...
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Answered by Louis R. • Maths tutor
3913 Views

Derive 2*x^(3/2)+x+4

Will differentiate to 3*x^(1/2)+1. As you bring down the power and mulitply it my the coefficients, and take one off of the power for terms with x. And any constant differentiates to 0.
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Answered by Finnley W. • Maths tutor
3756 Views

How do i remember the difference between differentiation and integration?

The easiest thing to do is to look at what is in the name. For integration you have `in`, which corresponds to an `increase` in power. Whereas with differenentiation you have `d` for decrease in power. Then ...
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Answered by Taha M. • Maths tutor
4465 Views