Integration by parts, error on Primitive of $\sqrt{1-x^{2}}$
54831
Integral of $\sqrt{1-x^2}$ using integration by parts
103374
A Problem on Improper Integrals
46833
How to solve integration by parts
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
141024
Generalising integration by parts for the product of more than two functions
47793
Integral $\int_0^1\sqrt{1-x^4}dx$
62840
Seemingly Simple Integral $\int_0^1\frac{x^2\ln x}{\sqrt{1-x^2}}dx$.
67655
Simpler way to compute a definite integral without resorting to partial fractions?
117101
Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
45212
Integrals involving reciprocal square root of a quartic
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
82311
Computing the primitive $\int\frac{1}{1+x^n} dx$
83488
Integrating $\ln x$ by parts
95934
How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?
36128
Using differentiation for computing $\int_{0}^{1}\frac{\arctan(ax)}{x\sqrt{1-x^2}}\,dx$
81225
A problem about parametric integral