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ABC
  • Member for 9 years, 2 months
  • Last seen more than 3 years ago
  • Bathinda, India
9 votes
11 answers
24k views

Prove $ax^2+bx+c=0$ has no rational roots if $a,b,c$ are odd

7 votes
3 answers
2k views

Trigonometric function integration: $\int_0^{\pi/2}\frac{dx}{(a^2\cos^2x+b^2 \sin^2x)^2}$

4 votes
3 answers
139 views

Prove $P(x)>0, \forall \space x>1$

4 votes
1 answer
89 views

How many natural numbers $n$ exist for $n=a^2−b^2−c^2$

4 votes
3 answers
213 views

Rank of a matrix.

4 votes
3 answers
257 views

Finding the maximum of $\frac{a}{c}+\frac{b}{d}+\frac{c}{a}+\frac{d}{b}$

3 votes
4 answers
142 views

Differential Equation @ 2nd Order

3 votes
2 answers
3k views

How to prove $\int f (x)dx\times \int g(y)dy =\iint f(x)\cdot g(y)\, dx\, dy$

3 votes
2 answers
2k views

Triangle $\Delta ABC$ , $a,b,c$ are in G.P.

3 votes
3 answers
130 views

Maximum value of $Z$

2 votes
2 answers
167 views

Evaluate $\int \frac{\sin^{-1}\sqrt{x}}{\sqrt{1-x}}\,dx$

1 vote
2 answers
102 views

Evaluate a big expression.

1 vote
1 answer
192 views

How to find $\frac{d^2x}{dy^2}$

1 vote
1 answer
518 views

Improper integral evaluates to $-\pi^2/12$

1 vote
2 answers
376 views

Differential Equation $y'-P(x)y=Q(y)$

1 vote
3 answers
131 views

How to find remainder?

0 votes
1 answer
361 views

Sum $\sum \frac{1}{n}\not \in N$ [duplicate]

0 votes
2 answers
89 views

How to tackle questions involving count?

0 votes
1 answer
191 views

Calculate the time after which Money doubles

0 votes
2 answers
136 views

Calculate $|X|$, where $X=(A+A^2B^2+A^3+A^4B^4\dots _{100 \ terms})$

0 votes
0 answers
53 views

What is the problem? [duplicate]

-1 votes
3 answers
92 views

Find the min value of $3a+b$

-2 votes
1 answer
706 views

Finding torque of a force [closed]