Top answers

When I try to integrate by parts, I end up in an infinite loop. Why is this, and how do you stop?

This could be happening for two reasons. Firstly, the negative form of the expression that you are being asked to integrate could be appearing in your answer, after you've used the 'integrating by parts' met...
TS
Answered by Tommy S. • Maths tutor
8014 Views

How do you differentiate?

for example 3x 2 +2x+1 differentiated? ax n differentiates to (an)x n-1 therefore 3x 2 goes to 6x 2x goes to 2 and 1 goes to 0 so the final answer is = 6x + 2
KB
Answered by Kate B. • Maths tutor
3717 Views

Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x 3 + (2x) -1 + e 2x )dx =int(5x 3 )dx + int((2x) -1 )dx + int(e 2x )dx int(5x 3 )dx = (5/4)x 4 + c where c is the constant of integration int(2x -1 )dx = (1/2)ln(2x) + d where d is another constant of ...
DL
Answered by Danny L. • Maths tutor
5186 Views

How would you derive y = function of x; for example: y = 3x^3 + x^2 + x

The best way to remember derivatives is to use algebra, and the general function is y = ax n -> dy/dx = anx n-1 So for this equation dy/dx = (3x3)x 3-1 + (2x1)x 2-1 + 1x 1-1 So the answer would be dy/dx =...
GA
Answered by George A. • Maths tutor
3686 Views

Find the gradient of the curve y = x^2(ln(x)) at x = e

We'll need to use the product rule. Let's take u = x^2 -> du/dx = 2x, and v = ln(x) -> dv/dx = 1/x Then dy/dx = x^2(1/x) + 2xln(x) = x + 2xln(x) Substituting our x value gives (dy/dx)|(x = e) = e + 2el...
CR
Answered by Charlie R. • Maths tutor
7227 Views