Evaluate: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{1}{t}i-e^{-t}j+t^{\frac{5}{2}}k)dt$

a$.(ln|t|)i+e^{-t}j+\frac{2}{7}{t}^{\frac{7}{2}}k+C$

b$.-\frac{1}{t^2}i+e^{-t}j+\frac{2}{7}{t}^{\frac{7}{2}}k+C$

c$.ln|t|i-e^{-t}j+\frac{2}{7}{t}^{\frac{7}{2}}k+C$

d$.ln|t|i+e^{-t}j+\frac{2}{3}{t}^{\frac{3}{2}}k+C$