teaching foil method and new method

Methods of completing a square and to derive the formula for the solution of the quadratic equation. ..

Step 4: The second integral can be evaluated by method completing square..

Step 3: Resulting integral is evaluated by method of completing squares..

A small known mass (0.2 to 0.3 g) of the given organic compound is heated with fuming nitric acid and a few crystals of silver nitrate at about 200C in a sealed tube (called Carius tube) for 5 to 6 hours. Carbon and hydrogen are oxidized to carbon dioxide and water while halogen forms a precipitat..

Impure titanium is heated to 250 o C with iodine. When titanium reacts to form volatile titanium tetraiodide Impurities present in titanium do not react with iodine. Therefore, the vapors titanium tetraiodide formed is ultra pure. Vapors of titanium tetraiodide are passed through a bulb cont..

Step 2: Determine L and M Step 4: Integral = Lx + M log (a cos x + bsi..

Put e x f(x) = t Differentiating w.r.t. x, {e x f(x) +e x f ' (x)} dx = dt e x {f(x) + f ' (x)} dx = dt = t + c = e x f(x)+c Evaluate the integral..

P(n,r) is the number of permutations of n dissimilar things taken r at a time. These permutations can be divided into two groups. (i) Those not containing a particular thing l . (ii) Those containing a particular thing l . Taking out l from the given things, we have (n-1) things which can be..

Similarly, (ii) and (iii) can be prov..

Let a be the least positive angle such that ..