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Use integration by parts to find the value of definite integral between 5 and 1 (3x/root(2x-1))dx

use the formula integral(u v') = u v - integral(v u') so the tricky integral can be avoided (this formula can be derived from integrating the product rule) so in these questions all you need to look for is w...
MG
Answered by Matthew G. Maths tutor
6299 Views

Find the differential of the equation: x^2(2x+5)

First expand the equation, giving us 2x^3 + 5x^2Then you can differentiate the equation by multiplying the number at the front of x by its power.Only then, we need to subtract 1 from the power.This gives us ...
JM
Answered by Jayant M. Maths tutor
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A uniform ladder is leaning against a smooth wall on a rough ground. The ladder has a mass of 10 kilograms and is 4 metres long. If the ladder is in equilibrium, state an equation for the coefficient of friction of the ground

Uniform means that the centre of mass is half way up the ladder. Smooth wall means no friction is felt on the wall and rough ground means that there is friction felt there. First, draw a diagram and take mom...
AA
Answered by Alexandra A. Maths tutor
6344 Views

∫(3x+4)2dx

((3x+4)^3)/9 +C
JL
Answered by John L. Maths tutor
6387 Views

The equation the line L1 is y=3x-2 and the equation of line L2 is 3y-9x+5=0. Show that these two lines are parallel.

Two lines are parallel if they have the same gradient. The general equation for a straight line is y=mx+c, where m is the gradient and c is the y-intercept. If these lines are parallel, then m will be the sa...
ZM
Answered by Zoe M. Maths tutor
10032 Views