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Find the integral on ln(x).

Integrate by parts, identifying that dv/dx = 1, u = ln(x) and therefore v = x and du/dx = 1/x. Sub into the parts equation to find the answer to be xln(x) - x + c.

DO
Answered by Daniel O. Maths tutor
3649 Views

Sine Rule

The sine rule is a very powerful tool used in mathematics to calculate unknown sides and angles of triangles when we only know some of the information.

For example if we have a triangle and we know...

HG
Answered by Hugo G. Maths tutor
5330 Views

I can't figure out this question to do with VAT. VAT is charged at 20%. A TV is for sale for £650 inc. VAT in Good Electronics and the same TV is for sale £495 exc. VAT in Wright's Electricals, where is it cheaper?

I can't figure out this question to do with VAT. VAT is charged at 20%. A TV is for sale for £650 inc. VAT in Good Electronics and the same TV is for sale £495 exc. VAT in Wright's Electricals, where is i...

WH
Answered by William H. Maths tutor
5529 Views

I'm supposed to calculate the differential of f(x)= sin(x)*ln(x)*(x-4)^2 using the product rule. I know what the product rule is but I can't split this into two bits that are easy to differentiate. How do I do it?

You say you are familiar with the product rule i.e. f(x)=u(x)v(x) f'(x)= u(x)v'(x)+v(x)u'(x) (Equation 1)

OK so why don't we try applying that here let's try splitting the function in this proble...

WH
Answered by William H. Maths tutor
4324 Views

Solve 9x-4=7(x+2)

BIDMAS is used to determine the first step in solving this problem. The bracket on the right hand side is expanded first. 9x-4=7x+14. Now the x's and numbers must be moved to opposite sides of the equals ...

JT
Answered by Jayani T. Maths tutor
6734 Views

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