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Use integration by parts to find the integral of x sin(3x)

Firstly we remind ourselves of the integration by parts formula. The formula used to integrate u dv/dx with respect to x = uv - the integral of v du/dx with respect to x. So the first thing we have to decide...
MS
Answered by Marnie S. • Maths tutor
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F(X)= 4/(x-3) g(x)= (x+2)/x solve fg(a)= 1

4/(x-3)*(x+2)/x= 4x+8/ x 2 -3x sub in a for x4a+8/a 2 -3athen equate to 1: 4a+8/a 2 -3a=1Times the bottom half of the equation up4a+8=a 2 -3aThe move the 4a+8 across to get a 2 -7a-8=0Factorise (a+1) (a-8)
EJ
Answered by Esther J. • Maths tutor
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Calculate the percentage composition by mass of Lithium Sulfate, Li2SO4.

(Taken from GCSE WJEC Additional Science Book- First Published in 2012) and I have adapted the answer given.Relative atomic masses: Li = 7 ; S= 32 ; O=161) Calculate molecular mass of lithium sulfate (Li2SO4...
EL
Answered by Elinor L. • Chemistry tutor
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Complete the square and hence sketch the graph of f(x) = x^2 + 2x + 7

Consider (x + 1)^2, where we halved the coefficient of x to obtain 1. This gives us x^2 + 2x + 1, which looks similar to our function, except it differs by a constant value of 6, hence, by adding 6 to (x + 1...
JP
Answered by Jordan P. • Maths tutor
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What is a tropism

Tropism is directional growthPhototropism is directional growth in response to light.Negative phototropism is growing away from the light e.g. in the rootsPositive phototropism is growing towards the light e...
VM
Answered by Vikram M. • Biology tutor
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