State True or False.
(a) ∫xndx = xn + 1/(n + 1) + c
(b) \(\int\limits_0^{π/2}\)log|sinx|dx ≠ \(\int\limits_0^{π/2}\)log(cos x)dx
(c) \(\int\limits_0^{π}\)xsinxdx = π
(d) ∫(1 + cos x)/(x + sinx)dx = log|1 +cos x| + c
(e) \(\int\limits_{-π}^{π}\)cos6 xdx ≠ 2\(\int\limits_0^{π}\)cos6 x dx
(f) ∫(2x + 1 + cosx)/(x2 + x + sinx)dx = log|x2 + x + sinx| + c