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Integrate by parts x2^x

Here we will use integration by parts because we have the product of two terms, x and 2^x. Using the integration by parts formula, we have to differentiate one of these terms and integrate the other. We choo...
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Answered by Thomas V. • Maths tutor
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What is the integral of x^2 sin(x) between the limits 0 and π/2

For this question, we have to integrate x 2 multiplied by sin(x) . For integrating a product, you must use a method called integration by parts. Without bogging ourselves down with the derivation, we know th...
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Answered by Ruth W. • Maths tutor
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Use the chain rule to differentiate y=1/x^2-2x-1

First we will rewrite y so it is written with a power: y=1/x 2 -2x-1=(x 2 -2x-1) -1 Now let u=x 2 -2x-1 => du/dx = 2x -2 Writing y in terms of u: y=u -1 => dy/du= -u -2 = - 1/u 2 using the chain rule: ...
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Answered by Alicia P. • Maths tutor
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A house increases by 25% to £80,000. Find what it was worth before the rise.

A 15% increase means that the £80,000 represents 115% of the original value . Therefore what we do is: £80,000=£125% divided by 125 which gives us £640 = 1% then we want to multiply by 100 to change this to ...
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Answered by Alicia P. • Maths tutor
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Integration question 1 - C1 2016 edexcel

Answer has to be explained verbally. A full written proof can be given.
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Answered by Mihir P. • Maths tutor
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