Harry Peter
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 14 Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions 13 Closed form for $\int_0^{\pi/2}\frac{\sqrt{1+\sin\phi}}{\sqrt{\sin2\phi}\,\sqrt{\sin\phi+\cos\phi}}d\phi$ 8 Evaluating Double Integral $\int_0^b\int_0^x\sqrt{a^2-x^2-y^2}dy\,dx$ 5 Computing $\int {\dfrac{\csc^{2014}x-2014}{\cos^{2014}x} dx}$ 5 Evaluate definite integral $\int_{-1}^1 \exp(1/(x^2-1)) \, dx$

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 +30 Find $\displaystyle \int{\dfrac{1}{\sqrt{1+x^4}}dx}$ +10 integration of exp(cos(x-a)) dx +10 Can this series be expressed as a Hyper Geometric function +10 how to estimate this indefinite integral $\int \frac{1}{e^x +x}dx$

### Questions (6)

 2 About the confluent versions of Appell Hypergeometric Function and Lauricella Functions 2 Prove $\frac{\sqrt\pi z^v}{2^v~\Gamma\left(v+\frac{1}{2}\right)}\int_0^\infty e^{-z\cosh t}\sinh^{2v}t~dt=\int_0^\infty e^{-z\cosh t}\cosh vt~dt$? 1 some questions about interchange summation signs of multi-summation 1 About the integral forms of Appell Hypergeometric Function and Lauricella Functions 0 Some properties about the Kampé de Fériet function

### Tags (59)

 204 integration × 188 31 closed-form × 14 139 definite-integrals × 119 27 special-functions × 29 107 calculus × 79 21 hypergeometric-function × 30 81 indefinite-integrals × 90 21 exponential-function × 14 74 improper-integrals × 54 14 radicals × 3

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 Mathematics 4,400 rep 1732