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anonymous
  • Member for 9 years, 8 months
  • Last seen more than 1 year ago
7 votes
4 answers
170 views

Can't solve $\int_{0}^{\pi} \frac{x}{1 + \cos^2x} dx$ [duplicate]

5 votes
4 answers
278 views

Unable to solve $ \int \frac{x + \sqrt{2}}{x^2 + \sqrt{2} x + 1} dx $? [duplicate]

4 votes
3 answers
477 views

Why is the area of a sphere is coming out as $ \pi^2R^2 $ instead of $4\pi R^2$?

4 votes
4 answers
109 views

Why does $ \lim_{x \to 2} \frac{x^2-4}{x-2} =4 $ if x cannot be 2?

4 votes
3 answers
12k views

Is $\cot x = \tan (π/2 - x) $ true for any angle $x$?

2 votes
2 answers
123 views

I am getting undefined as the answer of this integral problem $\int\limits_{2}^{3}\frac{\mathrm dn}{(n-2)(3-n)}$. Am I doing something wrong?

2 votes
3 answers
627 views

Does dividing a common factor out from numerator and denominator of a rational function create a new function with different domain?

2 votes
3 answers
62 views

How much should I scale $dx$ and $dy$ individually to get a vector of required magnitude

2 votes
2 answers
1k views

What is the correct differential equation form of $ax + by + c = 0$?

2 votes
3 answers
95 views

Why is my integration coming negative?

1 vote
1 answer
798 views

If I have an angle theta, what does sin theta and cos theta returns?

1 vote
2 answers
128 views

Find the total number of identical terms in 2 sequences.

1 vote
2 answers
249 views

If $\frac{\log x}{y - z} = \frac{\log y}{z - x} = \frac{\log z}{x - y}$, prove that $xyz = 1$ without using the following method

1 vote
3 answers
139 views

Unable to prove that $\sqrt{i} + \sqrt{-i}$ is a real number.

1 vote
3 answers
1k views

Why is my solution to $ \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 5y = 10\sin x $ wrong?

0 votes
1 answer
334 views

In Unit circle, in second quadrant, why is X taken negative? [duplicate]

0 votes
1 answer
71 views

Why is my integration solution wrong?

0 votes
2 answers
301 views

How: $ (\vec b + \vec c)(\vec b - \vec c) = 0 \implies \frac{\vec b + \vec c}{2}.(\vec c - \vec b) = 0 $

0 votes
2 answers
885 views

If trigonometric ratios are just ratios of length of sides, then why do they become negative?

0 votes
2 answers
11k views

Is the arctan of a negative number always negative?

0 votes
1 answer
7k views

Is this always true that if the angle in degrees is negative, its radian counterpart will also be negative and vice-versa?

0 votes
1 answer
43 views

$dL=dr/ \sin\alpha$. Is it correct according to calculus?

0 votes
0 answers
58 views

$\sin{2x} = \frac{2 \tan {x}}{1 + \tan^2{x}}$. Do L.H.S. and R.H.S. have same domain?

0 votes
3 answers
61 views

Can I put $x = \dfrac{π}{2}$ in $ \tan{2x} = \dfrac{2\tan{x}}{1 - \tan^2{x}} $? [closed]

-1 votes
1 answer
1k views

How to convert a vector to a unit vector if its magnitude is smaller than one?

-1 votes
3 answers
79 views

What am I doing wrong in evaluating $\int {\frac {dx}{1+x-x^2}}$?