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Integrate 1/(1 - 3*x) with respect to x

First substitute: u = 1 - 3xNext calculate: du/dx = -3 .... therefore dx = (-1/3) * duNow re-arrange the expression: Integrate 1/u * ( -1/3)*duNext recall the integral of 1/x is the natural logarithm, and re...
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Answered by Neil M. • Maths tutor
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How do you analyse a poem?

Writing a good, coherent poem analysis is often seen as very hard, but once you understand and have good knowledge of all the parts that make up a poem, you will see how smooth and enjoyable this process can...
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Answered by Anna R. • English tutor
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If, f(x) = 8x^3 + 1 / x^3 . Find f''(x).

f(x) = 8x 3 + 1 / x 3 >>> f(x) = 8x 3 + x -3 f'(x) = 3(8x 2 ) + -3(x -4 ) >>> f'(x) = 24x 2 - 3x -4 f''(x) = 2(24x 1 ) - 4(-3x -5 ) Final Answer, f''(x) = 48x + 12x -5
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Answered by Sam S. • Maths tutor
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Explain the importance of accessory pigments in photosynthesis.

Accessory pigments, such as carotenoids and xanthrophylls, increase the rate of photosynthesis by increasing the efficiency of light absorption in both photosystem I and II, specifically in the light harvest...
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Answered by Finley W. • Biology tutor
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Explain the view on beauty and morality that Oscar Wilde provides in 'The Picture of Dorian Gray'.

The Picture of Dorian Gray is highly allegorical and perfectly summaries the Aesthetic theories about the purpose of life which is only found in the pursuit of pleasure and beauty. Dorian realizes this durin...
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