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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
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
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
Understanding the integral of 1 (1+x^2) • Physics Forums The integral of 1 (1+x^2) is indeed arctan(x), and no substitution is necessary to find this antiderivative since the derivative of arctan(x) is 1 (1+x^2) Substituting x with tan(Θ) transforms the integrand but can complicate the process unnecessarily, as the antiderivative is already known Understanding the substitution method is valuable, but it is essential to recognize that the goal is