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Using the substitution x = 2cosu, find the integral of dx/((x^2)(4-x^2)^1/2), evaluated between x=1 and x=sqrt(2).

Starting with x=2cosu, rearrange for u to get u=arccos(x/2), then find the upper and lower limits of the integral. We find that our lower limit goes from 1 to pi/3, ad our upper limit goes from root 2 to pi/...
TD
Answered by Tayn D. • Maths tutor
8979 Views

Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions

x = i is a solution, and all the coefficients are real, so x = -i must also be a solution:2x^3+3x^2+2x+3 = 0(x+i)(x-i)(Ax+B) = 0 (we argued above that this must be the case)(x^2+1)(Ax+B) = 0(x^2+1)(2x+3) = 0...
BS
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Calculate the integral of e^x*sin x

1/2 *e^(x)(sin x -cos x)
Answered by • Maths tutor
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Explain how the mitochondria plays an important role in sustaining life?

The mitochondria is an organelle important for aerobic respiration. This is a process which uses glucose and oxygen to produce adenosine triphosphate, carbon dioxide and water. ATP is a molecule needed to pr...
FW
Answered by Felyx W. • Biology tutor
2869 Views

integrate arcsin(x)

Use integration by parts to obtain:u=arcsin(x), u'=1/(1-x 2 ) 0.5 , and v'=1, v=x Using the equation: integral of uv' = uv - integral of u'vintegral of arcsin(x) = xarcsin(x) - integral of x/(1-x 2 ) 0.5 Use...
MG
Answered by Maya G. • Maths tutor
2474 Views