Math, asked by Raman786, 1 year ago

find integral
power of exponent (3 log x)/(x raise to power 4 +1)dx
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Answers

Answered by kvnmurty
0
I= \int\limits^{}_{} {\frac{e^{3\ log\ x}}{x^4+1}} \, dx \\\\e^{3\ log\ x}=e^{Log\ x^3}=y,\ let\\\\then\ Log\ y=Log\ x^3,\ \ \ \ y=x^3\\\\ I = \int\limits^{}_{} {\frac{x^3}{x^4+1}}\\\\=\frac{1}{4}Log(x^4+1)+K\\
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