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from 0->1:Int sqrt(1-x^2) Solution)
I=∫sqrt(1-x2)dx = sqrt(1-x2)∫dx - ∫{(-2x)/2sqrt(1-x2)}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x2) - ∫-x2/√(1-x2)
Let I1= ∫x2/√(1-x2) = ∫1-x2-1/√(1-x2) = ∫√(1-x2) - ∫1/√(1-x2) = ∫√(1-x2) - sin-1x = I - sin-1x
I = x√(1-x2) - I + sin-1x
2I = x√(1-x2) + sin-1x
I = x/2*√(1-x2) + 1/2*sin-1x
Within limits 0 -> 1
I = [1/2*√(1-1) + 1/2sin-11 - 1/2*√(1-0) - 1/2sin^-1(0) ] = 0 + pi/2 - 1/2 - 0 = pi/2 - 1/2
1) A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group an
I am the least two digit number which round off to 100?
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
A=30, B=45, b=4
10p=100
what is the circumference of a circle that is 11 in.
What do you mean by value delivery
Solve the following equestions i.2x-8=8 ii.3x+2/5=4 iii.8/3x-2=2 iv.0.6x-5=7
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ
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