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Use integration by parts to find the value of the indefinite integral (1/x^3)lnx ; integration with respect to dx

Let f denote an integral sign, I will write the integrand in square brackets. The formula for integration by parts is given by: f [(u)(dv/dx)]dx = uv - f [((du/dx)(v)]dxTo apply this rule we imagine our inte...
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Answered by Amelia S. • Maths tutor
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Why do first ionisation energies decrease down a group?

This is an example of remembering the basic trends of ionisation energies of different elements across the periodic table and applying this knowledge in detailWe take the Bohr model of the atom where the ene...
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Answered by Bence D. • Chemistry tutor
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What is diffusion? Provide an example of this process in a biological system.

Diffusion refers to the process where particles (molecules and ions) move from an area of high concentration to an area of lower concentration . I would draw a diagram of the process and make it clear that p...
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Answered by Elizabeth H. • Biology tutor
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How do I write a good paragraph?

For A-Level exams or coursework, your paragraphs should follow a PEAR structure. This stands for… POINT - EVIDENCE - ANALYSIS - REFER .As an example, let’s answer the question: ' How does Homer's use of meta...
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Answered by Stephanie A. • English tutor
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What is a gothic text?

It is critically accepted that the gothic genre began in 1760, with Walpole’s The Castle of Otranto . However, the hallmarks of gothic literature are by no means tied to this period. As far back as the middl...
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Answered by Stephanie A. • English tutor
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