1. An image capture apparatus comprising: an image capturing unit; a first image capture controller configured to control the image capturing unit to capture a set of a plurality of images with a rolling shutter method, wherein: (i) a first image having a shorter exposure time that is shorter than an appropriate exposure time, (ii) a second image having a longer exposure time that is longer than the appropriate exposure time, and (iii) a third image having the appropriate exposure time, are captured, in this order; a second image capture controller configured to control the first image capture controller to perform the capturing of the set of the plurality of images with the rolling shutter method for a plurality of times to obtain a plurality of sets of the plurality of images; an addition combination section configured to perform image alignment on the plurality of images contained in each of the plurality of sets and to perform addition combination on the aligned images to generate a combined image; a combination controller configured to control the addition combination section to perform the image alignment and the addition combination for each of the plurality of sets to obtain a plurality of combined images; a selector configured to evaluate the plurality of combined images and to select one of the plurality of combined images that is most highly evaluated as a selected image; and a storage configured to store the selected image.