If $\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x$ where f is a continuous function, find f (1).

Name: If $\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x$ where f is a continuous function, find f (1).
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The Answer of If $\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x$ where f is a continuous function, find f (1).

If ∫12xf(t)dt=xsin⁡−1x\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x∫12x​f(t)dt=xsin−1x

If $\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x$