Jay Shree Ram Hanuman Printed Poly Cotton T-Shirt for Men

 

Jay Shree Ram Hanuman Printed Poly Cotton T-Shirt for Men

                           

                                       


-38% ₹249
M.R.P.: ₹399
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How do we evaluate ∫1+x2(1−x2)1+x4−−−−−√dx? ∫ 1 + � 2 ( 1 − � 2 ) 1 + � 4 d � ?

 𝙰𝙽𝚂𝚆𝙴𝚁 =  One possible way to evaluate the integral ∫(1+x^2(1−x^2)1+x^4)^(-1/2)dx is by using trigonometric substitution. Let x = tanθ, so that dx = sec^2θdθ and 1 + x^2 = 1 + tan^2θ = sec^2θ 1 - x^2 = 1 - tan^2θ = cos^2θ 1 + x^4 = 1 + tan^4θ = sec^4θ Substituting these expressions in the integral yields: ∫(1+x^2(1−x^2)1+x^4)^(-1/2)dx = ∫(sec^2θcos^2θsec^4θ)^(-1/2)sec^2θdθ = ∫(cos^2θ)^(1/2)(sec^4θ)^(1/2)sec^2θdθ = ∫cosθsec^3θdθ We can evaluate this integral using integration by substitution: Let u = secθ, so that du = secθtanθdθ Substituting u and du, we have: ∫cosθsec^3θdθ = ∫du/u^3 = -1/(2u^2) + C Substituting back u = secθ, we get: ∫cosθsec^3θdθ = -1/(2sec^2θ) + C = -1/(2+2x^2(1-x^2)^(-1/2)) + C = -1/(2+2tan^2θsecθ) + C = -1/(2+x√(1-x^2)) + C Therefore, the solution to the integral is: ∫(1+x^2(1−x^2)1+x^4)^(-1/2)dx = -1/(2+x√(1-x^2)) + C.
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How easy/tough is it to win in the Big Cash Game?

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 𝙰𝙽𝚂𝚆𝙴𝚁 =  It's difficult to answer this question definitively because it depends on various factors, such as the specific game you're playing, your skill level, the strategies you use, and even luck. In general, winning at any form of gambling involves a certain degree of luck, but skill and strategy can also play a role. In games like poker or blackjack, for example, players who are skilled and experienced in the game can have an advantage over less experienced players. They may be able to read their opponents, make better decisions, and manage their bankroll more effectively. However, even skilled players can lose in the short term due to variance and luck. In the long run, skill can often overcome these factors, but it's important to keep in mind that there is always an element of chance involved. In summary, winning at the Big Cash Game or any form of gambling can be challenging and requires a combination of luck, skill, and strategy. While there is no guaranteed...
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 𝙰𝙽𝚂𝚆𝙴𝚁 =   The physical father of physics is often considered to be Sir Isaac Newton, a 17th-century English physicist and mathematician. Newton's groundbreaking work in mechanics and gravitation, as described in his book "Mathematical Principles of Natural Philosophy," laid the foundation for much of modern physics. He is also known for his work on optics, where he proposed that light is made up of particles, and his development of calculus. While Newton is widely considered to be one of the most influential physicists of all time, it is important to note that the development of physics was a collaborative effort involving many scientists and thinkers over centuries.
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