Basic Integration Formulas.

APPENDIX B

Basic Integration

Formulas

a dx₌ax₊C

tanx dx_=ln|secx_{| +}C

xrdx₌ x r₊1

r₊₁ +

C _[r_{= −1]}

secx dx_=ln|secx_+tanx_{| +}C

₁

x

dx_=ln|x_{| +}C

cotx dx_=ln|sinx_{| +}C

_dx

a2₊x2 = 1

atan

−1x

a + C

cscx dx_=ln|cscx_−cotx_{| +}C

_dx

√

a2₋x2 =sin

−1x

a +

C _[a_>0]

sec2x dx_=tanx₊C

_dx

x√x2₋a2 = 1

asec

−1x

a +

C _[a_>0]

csc2x dx_{= −cot}x₊C

exdx₌ex₊C

secx_tanx dx_=secx₊C

axdx₌ ax

lna +C [a>0]

cscx_cotx dx_{= −csc}x₊C

xexdx₌ex₍x₋₁₎₊C

sin2x dx₌ x

2 − sin 2x

4 +

C

lnx dx₌x_lnx₋x₊C

cos2x dx₌x

2 + sin 2x

4 +

C

sinx dx_{= −cos}x₊C

tan2x dx_=tanx₋x₊C

cosx dx_=sinx₊C

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