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integrals involving roots - integration techniquesin this part were going to look at an integration method that can be helpful for some integrals
factors in denominator and partial fraction decompositionfactor in denominatorterm in partial fraction decomposition ax baax b ax b
partial fraction decompositionthe procedure of taking a rational expression and splitting down it into simpler rational expressions which we can add
if you find nothing out of this rapid review of linear algebra you should get this section without this section you will not be capable to do any
example of integrals involving trig functionsexample estimate the following integralint sin5 x dxsolutionthis integral no longer contains the cosine
integrals involving trig functions - integration techniquesin this part we are going to come across at quite a few integrals that are including trig
example of integration by parts - integration techniquesillustration1 evaluate the following integralint xe6x dxsolution thus on some level the
here we need to see the inverse of a matrix provided a square matrix a of size n x n if we can get the other matrix of similar size b thatab ba in
integration by parts -integration techniqueslets start off along with this section with a couple of integrals that we should previously be able to do
integration techniquesin this section we are going to be looking at several integration techniques and methods there are a fair number of integration
a girl has 25 plants in all 8 of them are tomatos she has 10 more bean plants than pepper plants how many pepper plants does she
a bag contains 8 red balls and x blue balls the odd against drawing a blue ball are 2 5 what is the value of
a box contains 12 balls out of which x are black if one ball is drawn at random from the box what is the probability that it will be a black ball
an integer is chosen at random from the first two hundreds digit what is the probability that the integer chosen is divisible by 6 or
in the graphical representation of a frequency distribution if the distance between mode and mean is k times the distance between median and mean
in a frequency distribution mode is 788 mean is 832 find the median ans 817ans mode 3 median - 2 mean788 3 median - 2 x 832788 1664 3
marks obtained by 70 students are given belowmarks20705060759040no ofstudents 8 12 18 6 9 5 12marksno
statistics and probability statistics are the only tools by which an opening can be cut through the
a vessel in shape of a inverted cone is surmounted by a cylinder has a common radius of 7cm this was filled with liquid till it covered one third the
if the areas of the circular bases of a frustum of a cone are 4cm2 and 9cm2 respectively and the height of the frustum is 12cm what is the volume of
a golf ball has a diameter equal to 41cm its surface has 150 dimples each of radius 2mm calculate the total surface area which is exposed to the
a conical vessel of radius 6cm and height 8cm is completely filled with water a sphere is lowered into the water and its size is such that when it
a solid toy in the form of a hemisphere surmounted by the right circular cone of height 2cm and diameter of the base 4
a building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains 411921- cu m of air if the internal diameter
an ice-cream cone has a hemispherical top if the height of the cone is 9 cm and base radius is 25 cm find the volume of ice cream