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Integrate the function xsin(4x^2) with respect to x, using the integration by substitution method.

Heres our integral: int(xsin(4x 2 )dx)The first decision to make is what to use as our substitution. We're going to go for the term tied up in the sine function: 4x 2 Set u = 4x 2 du/dx = 8x, therefore dx = ...
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Answered by Benjamin C. • Maths tutor
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Explain what is meant by the term placebo, and how a placebo would be utilised in a clinical trial of a novel pain relief medication

A placebo is a control method to account for perceived effects of taking a medication. This is because patients often report that they feel a difference from taking a medication, irrespective of whether it h...
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Answered by Ryan A. • Biology tutor
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Find the 1st derivative of y = x^2 + 7x +3 and hence find the curves minima.

Firstly, we differentiate y = x 2 +7x+3 . This gives dy/dx = 2x+7.The minimum value occurs when dy/dx = 0. So find x and y when dy/dx=0. 2x+7=0 implies x= -3.5, which from the first equation means y = (-3.5)...
CW
Answered by Connor W. • Maths tutor
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Explain the reasons for the changes in reactivity of Phenol, Benzene and MethylBenzene

The changes in reactivity are due to the electron donating/withdrawing properties of the substituted groups. For example the OH group in Phenol is electron donating. This means the electron density of the de...
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Answered by Adam D. • Chemistry tutor
5928 Views

How and why does sp3 hybridization occur?

1 st consider the bonding in methane, CH4. The carbon atom forms 4 single covalent bonds to hydrogen atoms. However, when we consider the electronic configuration of Carbon (electrons-in-box notation), there...
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Answered by Farah D. • Chemistry tutor
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