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Find the indefinite integral of x^8*ln(3x) using integration by parts

For this method we need to choose our u and dv/dx. Using the Late method (Logarithm, algebra, trigonometric, exponential), we can pick our u value which will be ln(3x). du/dx is therefore 1/x, using the c...

Answered by Joel B. • Maths tutor

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There are 12 counters in a box, 5 red and 7 blue. 2 counters are taken out at random without replacement, what is the probability that they are the same colour?

We need to consider two possibilities, you could either pick out two blues or two reds. To find the total probability we work it out for each individually and then add them together. We can find the proba...

Answered by Christopher R. • Maths tutor

4478 Views

A car costs £1200 in a sale. It was reduced by 20%. What was the original price?

£1200 is 80% of the original price.We need to find what 100% of the original price is.if £1200 is 80% then to find 1% we can divide it by 80.
1200/80=15
£15 is 1% of the original price to find 1...

Answered by Luke F. • Maths tutor

4910 Views

A curve has an equation: (2x^2)y +2x + 4y – cos(piy) = 17. Find dy/dx

You must differentiate each individual term in the equation.Firstly start with the term of the product of 2x² * y, using the product rule (dy/dx = udv/dx + vdu/dx)Let u = 2x²

Answered by Matthew B. • Maths tutor

3180 Views

A curve f(x,y) is defined by sin(3y)+3ye^(-2x)+2x^2 = 5. Find dy/dx

In questions where we have a function of x and y equal to a constant, we need to find dy/dx indirectly.We use the formula (df/dx) + (df/dy)(dy/dx) = 0So all we do is differentiate each term in the functio...

Answered by Lewie W. • Maths tutor

3256 Views