$\int_0^x \frac{t^n}{1-t} dt = ?$
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
136738
Does the limit $\lim _{x\to 0} \frac 1x \int_0^x \left|\cos \frac 1t \right| dt$ exists?
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
89028
Evaluate the integral $\int e^{-x}x^n dx$
16049
Fourier transform of $\int_{-\infty}^{t}f(t)\, dt$
62450
Computing $ \int_0^{2\pi} \frac{1}{a^2\cos^2 t+b^2 \sin^2 t} dt \;; a,b>0$.
102764
Let $f(x)=\int_0^1|t-x|t~dt$ for all real $x$. Sketch the graph of $f(x)$, what is the minimum value of $f(x)$
28053
Integral of $\sin(e^t)dt$
47452
Calculus Question: $\int_0^1\frac{(x-x^2)^4}{1+x^2}dx$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
109099
Prove that $\lim_{h \to 0}\frac{1}{h}\int_0^h{\cos{\frac{1}{t}}dt} = 0$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
74454
Sophomore's dream: $\int_0^{1} x^{-x} \; dx = \sum_{n=1}^\infty n^{-n}$
34790
Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
21857
Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$
109790
Finding the value of $\int_0^{\pi/2} \frac{dt}{1+(\tan(x))^{\sqrt{2}}}$