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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
- 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
- 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
- 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?
- Solving Integrals for e^-ax^2: (i), (ii) (iii) - Physics Forums
Hi, i have a problem which is confusing me :confused: Question: Given that \int_ {0}^ {\infty}e^ {-ax^2} dx = \frac {\sqrt {\pi}} {2\sqrt {a}} What
- Integral of 1 (x^2 + 2) dx - 2) dx ? • Physics Forums
Mentor note: Moved from technical section, so missing the homework template How do you integrate this? $$\int \frac {1} {x^2 + 2} dx$$ My attempt is $$\ln
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