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3SAT's user avatar
3SAT
  • Member for 9 years, 6 months
  • Last seen more than a week ago
  • Planet Earth
11 votes

If the derivative of a function is zero, is the function a constant function?

9 votes
Accepted

Solve $10x^4-7x^2(x^2+x+1)+(x^2+x+1)^2=0$

8 votes
Accepted

How to approach this integration problem?

7 votes
Accepted

Integration with a constant "a": $ \int_0^a \frac1{\sqrt {a^2-x^2}} dx $

7 votes

Antiderivative problem

6 votes
Accepted

Partial fractions of $\frac{1}{x^5-x^3}$

6 votes
Accepted

How do I find $\underset{x\rightarrow\infty }{\lim}A_{x}=x-\sqrt{x^{2}-4x}$

6 votes
Accepted

$\lim_{x \rightarrow 0} \frac{\sin(x)}{x}$ using $\epsilon - \delta$ definition

6 votes

Solve $ \int{\frac{7x^2 + 1}{(x+1)(x-1)(x+3)}}\,dx $

6 votes
Accepted

Simplifying $ 2\cos^2(x)\sin^2(x) + \cos^4(x) + \sin^4(x)$

5 votes

Solve $\sin A +\sin 2A +\sin 3A + \sin 4A = 0$, for $0 \leq A \leq 180$

5 votes
Accepted

How to multiply Roman numerals?

5 votes

How to integrate ${x^3}/(x^2+1)^{3/2}$?

5 votes
Accepted

How do I integrate $\frac{1}{(\sin x + \cos x)^{4}}$?

5 votes
Accepted

How would I solve: $\log_{16} 32 = x$?

5 votes

Integral $\int \frac{\sqrt{x}}{(x+1)^2}dx$

5 votes

Integration of $\frac{dx}{x\sqrt{\ln x^2 +6\ln x}}$

5 votes
Accepted

Proof by induction: Show that $9^n-2^n$ for any $n$ natural number is divisible by $7$.

4 votes
Accepted

Integral using partial fractions

4 votes

$\lim_{x \to 1}\frac{x\cdot \sin^2{x}}{x-1}$

4 votes
Accepted

How to compute this integral...

4 votes

How to calculate $\lim_{x\to +\infty}\frac{ax+b}{\sqrt{cx^{2}+dx+e}}$

4 votes

Find the sum of the coefficients in the expansion of the given expression using Binomial Theorem.

4 votes

solve the vector equation for a and b

4 votes
Accepted

Find: $\lim_{x\to0}\frac{\ln(1+x^2)-x^2+\frac{x^4}{2}}{\sin x^6}$

4 votes

Limit of $(1+3/n)^{4n}$ as $n$ goes to infinity

4 votes

Derivative of $1-5^{-x}$

4 votes

Solve the equation: $\cos^2(x)+\cos^2(2x)+\cos^2(3x)=1$

4 votes

Primitive of $\left(x +\sqrt{1 + x^2}\right)^n$

4 votes

Integration of $\frac{\sin x}{\sin 4x}$

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