Top answers

When do you know to use integration by parts?

You use integration by parts if there's more than one function of x. For example; to integrate x sin(x) you'd use integration by parts as this is two functions of x. The formula to remember is I(udv) = uv - ...
NL
Answered by Natasha L. • Maths tutor
4333 Views

Rearrange to make p the subject. C + 5 p = a ( C – p )

C+5p = a (c-p) C+5p = ac-ap 5p+ap=ac-c p(5+a) = c(a-1) p=(c(a-1))/(5+a)
SM
Answered by Santiago M. • Maths tutor
4667 Views

x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99

r=0.0 . x . r=0.0x0x0x0x.... 100r=x.0x0x0x (1) 10,000r=x0x.0x0x0x (2) (2) - (1): 9,900r=x00 r=x00/9,990 r=x/99
EE
Answered by Ellie E. • Maths tutor
14046 Views

Compute the indefinite integral of x^8 ln(3x)dx

Using integration by parts, by substituting ln(3x) as u and x^8 as dv/dx, use the formula to plug in the values and complete the calculation to get (x^9)(ln(3x)-1/9)/9
PP
Answered by Pawel P. • Maths tutor
4435 Views

How would I differentiate y=2(e^x)sin(5x) ?

We can see that we have the product of two different functions, and so we need to use the product rule. We will separate the function and label each part u and v for clarity. So we let u = 2e x and let v = s...
SP
Answered by Scott P. • Maths tutor
5074 Views