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Maths
A Level

How do you intergrate a function?

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x

Answered by David C. Maths tutor
2811 Views

given that angles A and B are such that, sec^2A-tanA = 13 and sinBsec^2B=27cosBcosec^2B

First of all key elements required for this question is the knowledge or retrival of these equations: tan2 + 1 =sec2 A   tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation...

Answered by Joshua M. Maths tutor
10130 Views

Given that y=((4x+1)^3)sin2x. Find dy/dx.

To answer this we will need to use the product rule which is as follows: For y=uv, dy/dx=u'v+uv' where u' is the derivative of u and v' is the derivative...

Answered by Benjamin G. Maths tutor
2901 Views

Integrate ln(x) wrt dx

Integrate by parts. First rewrite the integral in the form udv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln...

Answered by Sathurthini T. Maths tutor
4056 Views

Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.

This is an example of completing the square.If we expand (x - p)^2 + q, we will have x^2 -2px + p + q.Now we can use algebra to work out what p and q are from the following equation. x^2 - 7x + 2 = x^2 -2...

Answered by Catherine P. Maths tutor
18187 Views

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