# Harry Peter

less info
reputation
225
bio website location age member for 1 year, 6 months seen Dec 9 at 12:55 profile views 568

 14 Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions 12 Closed form for $\int_0^{\pi/2}\frac{\sqrt{1+\sin\phi}}{\sqrt{\sin2\phi}\,\sqrt{\sin\phi+\cos\phi}}d\phi$ 5 Computing $\int {\dfrac{\csc^{2014}x-2014}{\cos^{2014}x} dx}$ 4 Evaluating Double Integral $\int_0^b\int_0^x\sqrt{a^2-x^2-y^2}dy\,dx$ 4 $\int_a^bx^\alpha \exp\left[-\left(\frac{x-\delta}{\sigma}\right)^\alpha\right]dx$ Closed-form?

# 3,176 Reputation

 +25 How solve $\int \frac{dx}{(x^2-x)^x}$ +10 How to evaluate the integral of $\sqrt{\sin\sqrt x}\cos \sqrt x / ( 1+x^2)$? +10 Integrating trigonometric functions. +10 Evaluate $\displaystyle \int\frac{1+x+\sqrt{1+x^2}}{\sqrt{x+1}+\sqrt{x}} \mathrm dx$

# 3 Questions

 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 About the integral forms of Appell Hypergeometric Function and Lauricella Functions 0 About the confluent versions of Appell Hypergeometric Function and Lauricella Functions

# 46 Tags

 134 integration × 130 27 closed-form × 9 96 definite-integrals × 88 15 special-functions × 16 73 calculus × 57 14 radicals × 3 50 improper-integrals × 42 14 elementary-functions 44 indefinite-integrals × 52 14 galois-theory

# 1 Account

 Mathematics 3,176 rep 225