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How and when should I integrate by parts?

Analyse the integral, common functions in which integration by parts is the best method include lnx and polynomials of x multiplied by exponential functions or sine and cosine functions. If this is the case ...
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Answered by Benjamin W. • Maths tutor
3730 Views

Solve the equation 5(2c - 3) = 19

5(2c - 3) = 19 5x2c - 5x3 = 19 10c - 15 = 19 10c = 19 + 15 10c = 34 c = 34/10 = 3.4
EB
Answered by Eivinas B. • Maths tutor
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Why do you differentiate in optimisation questions?

When you differentiate a function it is giving you the rate of change of that function for different values of x. After subituting in, if it is positive it tells us that the graph is increasing, if it is neg...
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Answered by Simon A. • Maths tutor
5281 Views

f(x)=2x^3-7x^2+4x+4, prove that (x-2) is a factor and factorise f(x) completely

if (X-2) is a factor, f(2)=0 2 2^3-7 2^2+4*2+4= 16-28+8+4=0 therefore (x-2) is a factor. 2x^3-7x^2+4x+4=(x-2)(2x^2-3x-2)=(x-2)(2x+1)(x-2)
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Answered by Bryce P. • Maths tutor
5349 Views

Find the derivation of (sinx)(e^2x)

Because there are two forms of x , the form uv'+vu' must be used. If y=sinx , dy/dx=cosx If y=e^kx , dy/dx=ke^kx Therefore dy/dx=(sinx)(2e^2x)+(e^2x)(cosx)
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Answered by Eric B. • Maths tutor
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