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  • What is the Integral of 2^(x)? - Physics Forums
    The integral of 2^x can be solved using the relationship between derivatives and integrals The derivative of 2^x is ln(2) * 2^x, which leads to the conclusion that the anti-derivative is (1 ln(2)) * 2^x
  • How Do You Solve the Integral of 2 (x^2-1)dx? - Physics Forums
    The full question is to find the integral over infinity and 2, so i have to use limits I am getting an undefined answer since ln of infinity minus ln infinity is undefined does that sound right?
  • What is the Integral of -e^(-x)? • Physics Forums
    The integral of -e^(-x) is derived using u-substitution, where u = -x, leading to the result -e^(-x) + C The negative sign arises because the derivative of -x is -1, thus requiring division by -1 during integration The discussion emphasizes that integration can be viewed as the reverse of differentiation, which simplifies the process
  • Solve Surface Integral: r^2 sin(theta) - Physics Forums
    Please some one help me how to solve this problem integral-r^2 sin (theta) d (theta) d (phi)
  • Integrate exp(-x^2), dx • Physics Forums
    0 integrate exp(-(x C)^k), dx with k>0 and C>0 Hello to you all, i've tried hard to solve this problem related with the wind resources, but so far like Tom Mattsonsaid in is post, i solved the problem to k=2, but i can't solve it to any k>0! integrate exp(-(x C)^k), dx with k>0 and C>0 Is there anyone willing to help me ? Perinhas
  • Localising a non integral domain at a prime • Physics Forums
    2 Also, for any other a large non integral domain integer ring along with large prime , say if we have , where is in the couple hundred trillion, and has couple hundred billion digits, are there algorithms that can systemically determine all of its equivalence classes, and also upper and lower bounds for how many there are? Thank you in advance
  • How Does Complex Analysis Explain the Integral of Sin^2(x) x^2?
    $$ \\int_{0}^{\\infty}\\frac{\\sin^2 x}{x^2}dx = \\frac{\\pi}{2} $$ [Hint: Consider the integral of $(1 - e^{2ix}) x^2)$ ] If we look at the complex sine, we have




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