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Calculate the integral of ln(x)

Calculating the integral of ln(x) is harder than it might look and must be done using integration by parts, where the two parts are 1 and ln(x). The integration by parts formula is as follows integral{udv) =...
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Answered by Callum R. • Maths tutor
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The perimeter of a right-angled triangle is 81 cm. The lengths of its sides are in the ratio 2 : 3 : 4. Work out the area of the triangle.

Answer is 243cm 2 . 2+3+4 = 981/9 = 9Non-hypotenuse sides of triangle are therefore length (9x2=18) and (9x3=27)Area of triangle is (18x27)/2 = 243
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Answered by Casey A. • Maths tutor
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Describe and explain how temperature affects the rate of an enzyme-controlled reaction?

Up to the optimum temperature (around 37 degrees Celsius) kinetic energy increases. So the likelihood of successful collisions between the active site of the enzyme and substrate increases. More enzyme subst...
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Answered by Enya F. • Biology tutor
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What is the most effective way to analyse a primary source in order to maximise my marks for the exam?

When analysing a source question, you must understand the two-fold approach to the question at hand. For example, most source questions will follow the structure, 'with reference to the sources and your unde...
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Answered by Jasleen S. • History tutor
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How should I structure my personal statement?

When applying to university, writing your personal statement is one of the most difficult obstacles because there is no specific guidance to structuring the personal statement. I think one of the main belief...
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