If $f(x)= x^3 + 3x + 4$ then the value of $\int_{-1}^1f(x)dx + \int_{0}^4 f^{-1}(x)dx$ equals
122407
If $f(x) = x^3+3x+4\;,$ Then value of $ \int_{-1}^{1}f(x)dx+\int_{0}^{4}f^{-1}(x)dx$
113066
Calculate $\int_0^1f(x)dx$
38511
Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
98344
Prove that $\int_0^1[f''(x)]^2dx\ge4.$
10068
$f(x,y)= e^{-\frac{1}{x^2+y^2}}$ when $(x,y)\neq (0,0)$ and $f(0,0)=0$.
126654
What is the definite integral $\int_{-1}^1 \frac{1}{x} dx$ equal to?
47452
Calculus Question: $\int_0^1\frac{(x-x^2)^4}{1+x^2}dx$
13287
Let $\int_{- \infty}^{\infty} f(x) dx =1$. Then show that $ \int_{- \infty}^{\infty} \frac{1}{1+ f(x)} dx = \infty.$
33989
If $\int_0^1 f(x)x^n \ dx=0$ for every $n$, then $f=0$.
108633
Why $f^{-1}(f(A)) \not= A$
97773
If $f$ is continuous with $f(x) = f(2x),f(1) = 3$, then what is $ \int_{-1}^{1}f(f(x))\,dx$?
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
31732
If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
71071
Nonzero $f \in C([0, 1])$ for which $\int_0^1 f(x)x^n dx = 0$ for all $n$
121455
$f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$