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Akshay Bodhare's user avatar
Akshay Bodhare's user avatar
Akshay Bodhare's user avatar
Akshay Bodhare
  • Member for 9 years, 3 months
  • Last seen more than a month ago
4 votes

Prove that the series $\sum_{1}^{\infty}\frac{k}{(k+1)(k+2)(k+3)}$ converges and find its limit

4 votes

Let $f$ be a strictly decreasing function. Then $\int_{a}^bf^{-1}=bf^{-1}(b)-af^{-1}(a)+\int_{f^{-1}(b)}^{f^{-1}(a)}f $

2 votes

Series $\frac{1}{4}+\frac{1\cdot 3}{4\cdot 6}+\frac{1\cdot 3\cdot 5}{4\cdot 6\cdot 8}+\cdots$

2 votes

A question about the integral form of the Cauchy-Schwarz inequality.

2 votes

How is $S_{n-1} = n^2 +2$?

2 votes
Accepted

Second order linear equation with constant coefficients theory question

1 vote

Enclosed Areas and Integration

1 vote
Accepted

Find General Solution of $y''-2y'+y=\frac{3e^t}{1+t^2}+7$

1 vote

Find the number of trailing zeroes.

0 votes

$f(x) = e^x - x^2/2 - x + \ln x$ Find the monotonicity using derivatives

0 votes

Problem with Integral attempt

0 votes

Integral of an inverse

0 votes

Why is $\sqrt{x}$ only positive when $x >0$? (i.e., why is $\sqrt{4}$ not both $2$ and $-2$?)

0 votes

Proof $\int_{-\pi/2}^{\pi/2} (\sin(x))^n dx = \frac{n-1}{n}\int_{-\pi/2}^{\pi/2} (\sin(x))^{n-2} dx $