Question

`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.

पर्याय

• `"e"^x sqrt(1 - x^2) + "c"`

• `"e"^x/(sqrt(1 - x^2)) + "c"`

• e^x sin^-1 + c

• e^x cos^-1 x + c

Answer 1

`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = e^x sin^-1 + c.