A little shortcut if you're familiar with the gamma function is to let x=u^(1/4), and then the integrand becomes 1/4*sqrt(u)e^(-u). That evaluates to 1/4*Γ(3/2)=1/8*Γ(1/2), which is sqrt(pi)/8.

The answer is incredible.

What if we interchange the 4 and 5 😂

Nice these  integral can be solve also when use U - substitution convert  to Gamma function.

Sir will you make a video on Integral (sec^3(x))

4:32 should be te^(-t^2) dt.  You left out the differential.

Bro, can you PLEASE link to videos you mention! Thank you!

sir, IBP will be much faster by the DI tabular method(from bprp) so I suggest you use that

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