Explain it pleaset

(c) Bonus Question. Let A = sin(12) dt. We know that A = F(1) - F(0) (that's the way we usually evaluate definite integrals). But we don't have a formula for F(t), so instead find an approximation of A, using Pis(t ) as an approximation to F(t). (d) Bonus Question. In part (c), we could have used a Maclaurin polynomial with more terms to get a better approximation. What would be the next non-zero term, if we wanted a better approximation