Doubt from series

1-(1/4)+(1/6)-(1/9)+(1/11)-(1/14)+...

Its just
\int_0^{1} 1 - x^3 +x^5.... try its easy

I tried that @Sneha_2021
Couldn't solve further
Please send the solution if you've solved it

Plug limit by own little busy

Isn't your integrand incorrect?

Ya insted of common ratio x^3 its should be x^2
\dfrac{\pi}{4}+1-\dfrac{1}{2} may be ans
Just add and sub x

  • Not pi/4 i m sorry my brain is not in wrking mode
    Sorryy log will come please try by urself

Incorrect
The integrand should be

Integration of [(1-x³)/(1-x^5)] from 0 to 1

U r correct i m sorry leave all post :neutral_face: