New posts in Indefinite Integrals

How to deduce this factorization of $x^5+x+1$ by looking at $\int\frac{3x^4+2x^3-2x+1}{x^5+x+1}dx$?

Can someone please help me explain this fallacy

Prove: $\int_0^1 \int_0^1 \frac{\ln{\left(2+yx\right)}}{1+yx} \; \mathrm{d}y\; \mathrm{d}x = \frac{13}{24} \zeta(3)$

Evaluate integral $\int (x^2-1)(x^3-3x)^{4/3} \mathop{dx}$

Evaluate $\int \frac{2-x^3}{(1+x^3)^{3/2}} dx$

How to solve $\int\frac{1}{\sqrt {2x} - \sqrt {x+4}} \, \mathrm{dx} $?

How to evaluate $\int \frac{dx}{\sin(\ln(x))}$?

How to integrate $ \int\frac{x-2}{(7x^2-36x+48)\sqrt{x^2-2x-1}}dx$?

If $\int f(x)dx =g(x)$ then $\int f^{-1}(x)dx $ is equal to

Evaluate $\int \:\frac{3x^5+13x^4+32x^3+8x^2-40x-75}{x^2\left(x^2+3x+5\right)^2}\:dx$