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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
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How do you structure an essay in History?

I would teach them my essay system which never fails. It is based on titles and sub-titles. I. A, B / II. A, B / III A, B Or I. A, B, C / II. A, B, C I often suggest the first one as many historical A levels...
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Answered by Camille B. • History tutor
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Draw a diagram of a human cell, include; the Nucleus, the Golgi Apparatus, Lysosomes, Ribosomes and Mitochondria, annotating your diagram with the general functions of each component and of the cell membrane.

Nucleus: Contains the DNA/ Human genome in the form of chromosomes (with the help of histone proteins), within a nuclear membrane which is inpenetrable by cytosolic enzymes. Golgi Apparatus: Transport/ modif...
VT
Answered by Victoria T. • Biology tutor
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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...
LR
Answered by Louis R. • Maths tutor
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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
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