Indefinite+Integrals+Polynomial,+Trig,+Logs+and+Exp

Indefinite integrals are integrals in the form of  There is no lower or upper bound and it is not defined in a region.

 - Properties of Indefinite Integrals

 o ∫kf(x)dx = k∫f(x)dx for any constant k

 o ∫(f(x) ± g(x))dx = ∫f(x)dx ± ∫g(x)dx

 - Power Formulas

 o ∫undu = [(un+1)/(n+1)] + C ∫u-1du = ∫(1/u)du = lnu + C

 - Trigonometric Formulas

 o ∫(cosu)du = sinu + C ∫(sinu)du = -cosu + C

 o ∫(sec²u)du = tanu + C ∫(csc²u)du = -cotu + C

 o ∫(secutanu)du = secu + C ∫(cscucotu)du = -cscu + C

 - Exponential and Logarith mic Formulas

 o ∫(eu)du = (eu) + C ∫(au)du = [(au)/(lna)] + C

<span style="line-height: normal; margin-left: 1.0in; mso-list: l0 level2 lfo1; tab-stops: 0in list 1.0in; text-indent: -.25in;"> o ∫(lnu)du = ulnu – u + C ∫(logau)du = ∫[(lnu)/(lna)]du = [(ulnu – u)/(lna)] + C