Newbetuts

How do I evaluate this integral :$\int \frac{1}{ \sqrt{1-x^2} } \arctan( \frac{\sqrt{1-x^2}}{2})dx$?

How to prove the closed form of the integral $\int \frac {dx}{\prod_{r=0}^n (x+r)}$

Convergence of an integral under a condition [closed]

Evaluate $\int\frac {\csc^2{x}-2005}{\cos^{2005}{x}} dx $

Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$

Evaluation of $ \int\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}dx$

$\int\text{e}^{-ax^2 } \text{erf}\left(bx + c\right) dx$

$ \int\frac{g(x)}{f(x)} \, dx $ where $f(x) = \frac{1}{2}(e^x+e^{-x})$ and $g(x) = \frac{1}{2}(e^x - e^{-x})$?

How to integrate $\int x\sin {(\sqrt{x})}\, dx$

Solving integral $ \int \frac{x+\sqrt{1+x+x^2}}{1+x+\sqrt{1+x+x^2}}\:\mathrm{d}x $

Why should we get rid of indefinite integration?

Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?

Justification of substitution in finding indefinite integrals

Evaluation of $ \int \tan x\cdot \sqrt{1+\sin x}dx$

Trouble solving $\int\sqrt{1-x^2} \, dx$

Doesn't the constant matter in $\int\frac{1}{x}dx=\ln(kx)+C$ instead of writing $\ln(x)+C$?

Evaluate $\int \sqrt{ \frac {\sin(x-\alpha)} {\sin(x+\alpha)} }\,\operatorname d\!x$?

New posts in indefinite-integrals

How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?

Uniqueness of a function that satisfies a condition

How to integrate $\int \frac{\cos^m x}{\cos nx} \,\mathrm{d}x$

How do I evaluate this integral :$\int \frac{1}{ \sqrt{1-x^2} } \arctan( \frac{\sqrt{1-x^2}}{2})dx$?

How to prove the closed form of the integral $\int \frac {dx}{\prod_{r=0}^n (x+r)}$

Convergence of an integral under a condition [closed]

Evaluate $\int\frac {\csc^2{x}-2005}{\cos^{2005}{x}} dx $

Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$

Evaluation of $ \int\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}dx$

$\int\text{e}^{-ax^2 } \text{erf}\left(bx + c\right) dx$

$ \int\frac{g(x)}{f(x)} \, dx $ where $f(x) = \frac{1}{2}(e^x+e^{-x})$ and $g(x) = \frac{1}{2}(e^x - e^{-x})$?

How to integrate $\int x\sin {(\sqrt{x})}\, dx$

Solving integral $ \int \frac{x+\sqrt{1+x+x^2}}{1+x+\sqrt{1+x+x^2}}\:\mathrm{d}x $

Why should we get rid of indefinite integration?

Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?

Justification of substitution in finding indefinite integrals

Evaluation of $ \int \tan x\cdot \sqrt{1+\sin x}dx$

Trouble solving $\int\sqrt{1-x^2} \, dx$

Doesn't the constant matter in $\int\frac{1}{x}dx=\ln(kx)+C$ instead of writing $\ln(x)+C$?

Evaluate $\int \sqrt{ \frac {\sin(x-\alpha)} {\sin(x+\alpha)} }\,\operatorname d\!x$?