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Find the Integration of limit (0 to 1) 1/(1+x^8) .dx

Kaushik Dutta , 7 Years ago
Grade 12th pass
anser 3 Answers
Khushan Sanghvi
∫1/1+(x^4)^2= arctanx^4  when u apply limits u get pi/4 as final ans..!!!
Last Activity: 7 Years ago
Sai Ram Charan
Hello Kaushik! did you mean the following integral?
\int_{0}^{1}\frac{1}{1+x^8}dx
 this integral doesnot appear in class 12 syllabus at all!
Last Activity: 7 Years ago
Sai Ram Charan
But, if you still need an answer, i would give a solution as:
\left(\displaystyle\sum_{\left\{Z:\>Z^8+1=0\right\}}\dfrac{\ln\left(\left|x-Z\right|\right)}{8Z^7}\right)   
I could not simplify it further. Sorry! 
Last Activity: 7 Years ago
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