evaluate-the-improper-integrale4x1e8x-dx-int-inftyinfty-frace4x1-e8x-dx

Question

Evaluate the improper integral.∫−∞∞e4x1+e8x dx \int_{-\infty}^{\infty} \frac{$$e^{4x}$$}{1 + $$e^{8x}$$} \, dx

Accepted Answer

π8\frac{\pi}{8}

Answer

π32\frac{\pi}{32}

Answer

π4\frac{\pi}{4}

Answer

The integral diverges.

Evaluate the improper integral.∫−∞∞e4x1+e8xdx \(\int\)_{-\(\infty\)}^{\(\infty\)} \(\frac{e^{4x}\)}{1 + e^{8x}} \, dx