- #1

Parhs

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$$I=\int_{0}^{\infty} \left(\frac{x+1}{3x^2 + \lambda} - \frac{\lambda}{2x+1}\right)dx $$

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.