If , where takes only principal values, then value of is [Integer Answer Type…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

If α=∫01(e9x+3tan⁡−1x)(12+9x21+x2)dx\alpha = \int_{0}^{1} (e^{9x+3\tan^{-1}x}) \left( \frac{12+9x^2}{1+x^2} \right) dx , where tan⁡−1x\tan^{-1}x takes only principal values, then value of (log⁡e∣1+α∣−3π4)\left( \log_e |1+\alpha| - \frac{3\pi}{4} \right) is [Integer Answer Type 2015]

Related theory

Browse the problem library