Indefinite integrals formula sheet

d/dx (k)

0

/kdx = /kx⁰dx

kx + C

d/dx(xⁿ)

nx^n-1

/xⁿdx

xⁿ⁺¹/n+1 + C

d/dx (ln|x|)

1/x

/1/x dx

ln|x| + C

d/dx (e^x)

e^x

/e^x dx

e^x + C

d/dx (sinx)

cosx

/cosx dx

sinx + C

d/dx (cosx)

-sinx

/sinx dx

-cosx + C

d/dx (tanx)

sec²x

/sec²x dx

tanx + C

d/dx (cscx)

-cscx cotx

/cscx cotx dx

-cscx + C

d/dx (secx)

secx tanx

/secx tanx dx

secx + C

d/dx (cotx)

-csc²x

/csc²x dx

-cotx + C

d/dx (sin^-1x)

1/square root(1-x²)

/1/square root(1-x²) dx

sin^-1x + C

d/dx (tan^-1x)

1/square root(1+x²)

/1/square root(1+x²) dx

tan^-1x + C

d/dx (sec^-1|x|)

1/x square root(x²-1)

/1/x square root(x²-1) dx

sec^-1x + C