Practice problem
Integrate. ∫2esin−1(2x)1−4x2 dx\int\frac{2e^{\sin^{-1}(2x)}}{\sqrt{1-4x^2}}\,dx∫1−4x22esin−1(2x)dx
2sin−1ex+C2\sin^{-1}e^{x}+C2sin−1ex+C
2esin−1(x2)+C2e^{\sin^{-1}(x^2)}+C2esin−1(x2)+C
esin−1(2x)+Ce^{\sin^{-1}(2x)}+Cesin−1(2x)+C
sin−1e2x+C\sin^{-1}e^{2x}+Csin−1e2x+C
Type a concept, like “slope” or “photosynthesis”.