Analytical valuation of some non-elementary integrals involving some exponential, hyperbolic and trigonometric elementary functions and derivation of new probability measures generalizing the gamma-type and normal distributions

Victor Nijimbere

The non-elementary integrals involving elementary exponential, hyperbolic and trigonometric functions, $ \int x^αe^{ηx^β}dx, \int x^α\cosh\left(ηx^β\right)dx, \int x^α\sinh\left(ηx…