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User1234
  • Member for 9 years, 1 month
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33 votes
1 answer
23k views

Reversing the Order of Integration and Summation

12 votes
2 answers
830 views

How to Integrate $ \int^{\pi/2}_{0} x \ln(\cos x) \sqrt{\tan x}\,dx$

9 votes
2 answers
394 views

Integrate $ \int_{0}^{1} \frac{\tan^{-1}(x)}{\sqrt{1-x^2}} dx$ without using Hyperbolic Functions

9 votes
3 answers
2k views

Conceptual Understanding behind a Limit

8 votes
0 answers
2k views

MacLane-Birkhoff's "Algebra" vs Jacobson's "Basic Algebra I,II" vs Lang's "Algebra"

7 votes
3 answers
260 views

Mistake with Integration with Beta, Gamma, Digamma Fuctions

7 votes
7 answers
466 views

Evaluate $ \int _{ 0 }^{ 1 }{ \ln\left(\frac { 1+x }{ 1-x } \right)\frac { dx }{ x\sqrt { 1-{ x }^{ 2 } } } }$

7 votes
5 answers
862 views

Range of $\sqrt{x-1}$

6 votes
3 answers
328 views

Integral and its limit

6 votes
1 answer
446 views

Integral with specific method

6 votes
2 answers
895 views

Maximum value of $p+q+r$ where $p=q(4-q), q=r(4-r), r=p(4-p)$ and $p,q,r\in R$

5 votes
3 answers
399 views

Evaluate $\int_{1/2014}^{2014} \frac{\tan^{-1}x}{x}dx$ using Differentiation Under the Integral Sign

5 votes
1 answer
179 views

"Correct antiderivative" for the integral $\int 2e^{\tan^{-1}x+x^2+\ln x}\left(2+\frac{2x^3+2x+1}{x+1/x}\right) dx$

5 votes
2 answers
381 views

Evaluate $\int_0^1 \frac{\ln \left(a+\sqrt{a^2+1}\right)}{a\sqrt{a^2+1}}da$

5 votes
5 answers
5k views

Arithmetic and Geometric Progression Question 1

4 votes
2 answers
3k views

How to prove Raabe's Formula [duplicate]

4 votes
1 answer
2k views

Book for Calculus

4 votes
2 answers
202 views

Doubt with Absolute Value Inequality

4 votes
5 answers
204 views

$\int\dfrac{dx}{x^2(x^4+1)^{3/4}}$ [duplicate]

4 votes
2 answers
127 views

Evaluate $\Im \left (\frac{1}{100\times 2^{100}}(e^{2\iota x} -1)^{100}\right )$

4 votes
3 answers
1k views

Evaluate $\int^0_1 \frac{\ln(t)}{1-t^2}dt$

4 votes
3 answers
514 views

How to integrate $\int_{-1}^1 \tan^{-1}\left(\frac{1}{\sqrt{1-x^2}}\right )\,dx$?

4 votes
3 answers
281 views

Problem with Integral attempt

4 votes
3 answers
519 views

Proof on Intersection of Sets

4 votes
2 answers
384 views

Absolute Value Equation

4 votes
7 answers
2k views

find the minimum value given constraints

4 votes
1 answer
452 views

$\lim_{(x,y)\to(1,2)} \left(\frac{\tan^{-1}x+\tan^{-1}\frac1y-\tan^{-1}3}{(x-1)(y-2)}\right)\sin^{-1}(y-2)$ using Polar Coordinates

4 votes
1 answer
94 views

Solving the differential equation $dy/dx=\frac{6}{x+y}$

4 votes
3 answers
2k views

Solving the equation $|z|^2-2iz+2c(1+i)=0$ for $c\in \mathbb{R}^+\cup \{0\}$

3 votes
3 answers
714 views

Solution of ${x}^{2} \dfrac {d^{2}y}{dx^{2}}+ x \dfrac{dy}{dx}+y=0 $