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How to simplify $\int{\sqrt[4]{1-8{{x}^{2}}+8{{x}^{4}}-4x\sqrt{{{x}^{2}}-1}+8{{x}^{3}}\sqrt{{{x}^{2}}-1}}dx}$?

Finding $\int e^{2x} \sin{4x} \, dx$

Evaluating an improper integral using the Residue Theorem

For non negative integers $\sum{P\left(X\geq x\right)}=\int{\left(1-F\left(x\right)\right)\mathrm{d}x}$

Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$

How is $\frac{\sin^2x}{\cos^2x+1}=\frac{\tan^2x}{1+\sec^2x}$?

Evaluate $\int\frac{1}{1+x^6} \,dx$

Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$

What's the connection between the indefinite integral and the definite integral?

Need help solving - $ \int (\sin 101x) \cdot\sin^{99}x\,dx $

How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?

Calculate the integral $\int e^{\sin x}\,dx$

Is there no formula for $\cos(x^2)$?

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

What is the most efficient method to evaluate this indefinite integral?

Evaluating $\int{ \frac{\arctan\sqrt{x^{2}-1}}{\sqrt{x^{2}+x}}} \,dx$

New posts in indefinite-integrals

Evaluate the integral $\int e^{-x}x^n dx$

Evaluate $\int\frac{x^3}{\sqrt{81x^2-16}}dx$ using Trigonometric Substitution

How do I integrate $\sec(x)$?

Evaluate the following integral: $ \int \frac{1+x^2 \ln x}{x+x^2 \ln x}dx $ [duplicate]

How to simplify $\int{\sqrt[4]{1-8{{x}^{2}}+8{{x}^{4}}-4x\sqrt{{{x}^{2}}-1}+8{{x}^{3}}\sqrt{{{x}^{2}}-1}}dx}$?

Finding $\int e^{2x} \sin{4x} \, dx$

Evaluating an improper integral using the Residue Theorem

For non negative integers $\sum{P\left(X\geq x\right)}=\int{\left(1-F\left(x\right)\right)\mathrm{d}x}$

Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$

How is $\frac{\sin^2x}{\cos^2x+1}=\frac{\tan^2x}{1+\sec^2x}$?

Evaluate $\int\frac{1}{1+x^6} \,dx$

Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$

What's the connection between the indefinite integral and the definite integral?

Need help solving - $ \int (\sin 101x) \cdot\sin^{99}x\,dx $

How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?

Calculate the integral $\int e^{\sin x}\,dx$

Is there no formula for $\cos(x^2)$?

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

What is the most efficient method to evaluate this indefinite integral?

Evaluating $\int{ \frac{\arctan\sqrt{x^{2}-1}}{\sqrt{x^{2}+x}}} \,dx$