Practice problem
Find ∫sinh(x) dx.\displaystyle\int \sinh \left( \sqrt{x} \right) \, \mathrm{d}x.∫sinh(x)dx.
(Source: CalcBee shortlist)
2xcosh(x)−2sinh(x)2\sqrt{x}\cosh(\sqrt{x})-2\sinh(\sqrt{x})2xcosh(x)−2sinh(x)
2xcosh(x)−2sinh(x)+c2\sqrt{x}\cosh(\sqrt{x})-2\sinh(\sqrt{x})+c2xcosh(x)−2sinh(x)+c
2xsinh(x)−2cosh(x)2\sqrt{x}\sinh(\sqrt{x})-2\cosh(\sqrt{x})2xsinh(x)−2cosh(x)
2xsinh(x)−2cosh(x)+c2\sqrt{x}\sinh(\sqrt{x})-2\cosh(\sqrt{x})+c2xsinh(x)−2cosh(x)+c
Type a concept, like “slope” or “photosynthesis”.