TrueDefault's user avatar
TrueDefault's user avatar
TrueDefault's user avatar
TrueDefault
  • Member for 8 years, 7 months
  • Last seen more than a month ago
53 votes
9 answers
91k views

How are the Taylor Series derived?

22 votes
5 answers
69k views

Derivation of factorization of $a^n-b^n$

11 votes
3 answers
8k views

Prove the distributive law $a(b+c)=ab+ac$ for real numbers?

10 votes
1 answer
8k views

Why is the graph of the implicit relation $\sin(x^2+y^2) = \cos(xy)$ so cool?

9 votes
9 answers
7k views

Trigonometry Identity: Prove that $\sin(a-b)=\sin a \cos b - \cos a \sin b$

7 votes
2 answers
22k views

How to solve for a non-factorable cubic equation?

7 votes
3 answers
32k views

What is the difference between "differentiable" and "continuous"

6 votes
6 answers
61k views

Is there a general formula for the sum of a quadratic sequence?

6 votes
5 answers
24k views

What are the uses of Euler's number $e$?

6 votes
4 answers
21k views

What does $\sin(\sin(x))$ mean?

5 votes
3 answers
1k views

Why are there so many notations for differentiation?

4 votes
3 answers
234 views

What is $\int \sec^3 x \ dx$? [duplicate]

4 votes
1 answer
94 views

Improper Integral $\int_0^2 \frac{1}{\sqrt{x}} \ \text{d}x$

4 votes
1 answer
134 views

Coefficients of the expansion of $(x+a)^2$ makes a perfect square?!

2 votes
4 answers
517 views

Finding the inverse of $f(x)=|x|-2$

2 votes
0 answers
102 views

How does one change the top number in a summation?

2 votes
1 answer
53 views

Is there a set formula for integration like there is for derivatives?

2 votes
2 answers
412 views

Why does $\sqrt{x^2}=|x|$? [duplicate]

2 votes
3 answers
535 views

Is there a simple way to prove the Four Colour Theorem?

2 votes
2 answers
4k views

How is Pascal's Triangle Important?

2 votes
4 answers
1k views

I need help understanding the formal definition of a limit

2 votes
4 answers
708 views

Find the equation of a circle containing three given points

2 votes
5 answers
2k views

Proving that $\frac{\sec\theta\cdot\sin\theta}{\tan\theta+\cot\theta}=\sin^2\theta$

1 vote
2 answers
196 views

How to prove that $\frac{d}{dx}\sin(x)=\cos(x)$

1 vote
2 answers
266 views

Conic Sections - Why do I need to know all these terms (foci, latus rectum, directrix, etc)? When will I use them?

1 vote
2 answers
123 views

Non-linear systems help!

1 vote
4 answers
181 views

Does $\infty^0=1$?

1 vote
1 answer
6k views

How does one create a step function?

1 vote
0 answers
54 views

What are some other ways to prove $\sum_{k=1}^n\left(\prod_{i=1}^k\frac{n-k+i}{k-i+1}\right)=2^n-1$?

0 votes
5 answers
553 views

How to solve $\frac{d}{dx}\int_{\pi}^{x^2}\sin(t) \ \text{dt}$ using the Fundamental Theorem of Calculus?