- #1
Parhs
- 6
- 0
Let $$λ \in R$$
$$I=\int_{0}^{\infty} \left(\frac{x+1}{3x^2 + \lambda} - \frac{\lambda}{2x+1}\right)dx $$
I need to find λ for which this would return a number (not infinity) . I tried writing Numerators as derivatives but not sure about the correctness and results.eg $$\fracλ2\int\frac{d(2x+1)}{2x+1}$$
Any idea how to solve this ?
I don't know how to find the antiderivative of the first fraction.
$$I=\int_{0}^{\infty} \left(\frac{x+1}{3x^2 + \lambda} - \frac{\lambda}{2x+1}\right)dx $$
I need to find λ for which this would return a number (not infinity) . I tried writing Numerators as derivatives but not sure about the correctness and results.eg $$\fracλ2\int\frac{d(2x+1)}{2x+1}$$
Any idea how to solve this ?
I don't know how to find the antiderivative of the first fraction.