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Mathematics
Soumil Gupta's user avatar
Soumil Gupta's user avatar
Soumil Gupta's user avatar
Soumil Gupta
  • Member for 3 years, 7 months
  • Last seen more than a month ago
  • Hyderabad, India.
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Freshman at IIIT Hyderabad.

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10
If $f\left(\pi\right)=\pi$ and $\int_{0}^{\pi}\left(f\left(x\right)+f''\left(x\right)\right)\sin x\ dx\ =\ 7\pi$ then find $f\left(0\right)$
Oct 2, 2021
question
7
Conceptual doubt in Definite Integration regarding limits of $\int_{0}^{2}x\cdot\sqrt{x+2}\ dx$
Sep 2, 2021
question
4
Prove that $2^{n}>1+n\sqrt{2^{\left(n-1\right)}}, \ \ \forall n>2$.
Feb 20, 2021
question
4
Evaluate $\int\frac{3\cot3x-\cot x}{\tan x-3\tan3x}\,dx$
Sep 2, 2021
question
3
Intuition behind equation of line in Vector form
Oct 20, 2021
answer
3
If $f\left(0\right)=1$ and $f'\left(x\right)>3f\left(x\right)\ $ $∀\ x\ \ge0$ then prove that $f\left(x\right)\ge e^{3x}\ ∀\ x\ \ge0$
Oct 8, 2021
question
3
Extrema points of a non-differentiable function.
Aug 6, 2021
answer
3
Prove that $\int_{0}^{\pi}sin^nxdx=\int_{0}^{2\pi}sin^nxdx$
Sep 26, 2021
answer
3
How to evaluate $\lim\limits_{x\to 0}\frac{1-\cos 7x}{3x^2}$?
Jul 11, 2021
question
3
Integrate $\int_{0}^{\infty}\frac{\tan^{-1}x}{x\left(1+x^{2}\right)}dx$ [duplicate]
Sep 18, 2021
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How to compare stability between 5‐methylcyclohexa‐1,3‐diene and 3‐methylenecyclohexene?