  Infrared (IR) luminosity is fundamental to understanding the cosmic star
formation history and AGN evolution, since their most intense stages are often
obscured by dust. Japanese infrared satellite, AKARI, provided unique data sets
to probe these both at low and high redshifts. The AKARI performed an all sky
survey in 6 IR bands (9, 18, 65, 90, 140, and 160$\mu$m) with 3-10 times better
sensitivity than IRAS, covering the crucial far-IR wavelengths across the peak
of the dust emission. Combined with a better spatial resolution, AKARI can
measure the total infrared luminosity ($L_{TIR}$) of individual galaxies much
more precisely, and thus, the total infrared luminosity density of the local
Universe. In the AKARI NEP deep field, we construct restframe 8$\mu$m,
12$\mu$m, and total infrared (TIR) luminosity functions (LFs) at 0.15$<z<$2.2
using 4128 infrared sources. A continuous filter coverage in the mid-IR
wavelength (2.4, 3.2, 4.1, 7, 9, 11, 15, 18, and 24$\mu$m) by the AKARI
satellite allows us to estimate restframe 8$\mu$m and 12$\mu$m luminosities
without using a large extrapolation based on a SED fit, which was the largest
uncertainty in previous work. By combining these two results, we reveal
dust-hidden cosmic star formation history and AGN evolution from $z$=0 to
$z$=2.2, all probed by the AKARI satellite. The next generation space infrared
telescope, SPICA, will revolutionize our view of the infrared Universe with
superb sensitivity of the cooled 3m space telescope. We conclude with our
survey proposal and future prospects with SPICA.
