Integral Table
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xn dx= xn+1n+1+C n≠-1
dxa2+x2=1aarctgxa+C
1x dx=lnx+C x≠0
dxa2-x2=12alna+xa-x+C
dx1+x2=arctgx+C-arcctgx+C
xdxa2±x2=±12lna2±x2+C
dx1-x2=arcsinx+C-arccosx+C
dxa2-x2=arcsinxa+C
dx1-x2=12ln1+x1-x+C
dxx2±a2=lnx+x2±a2+C
dxx2±1=lnx+x2±1+C
xdxa2±x2=±a2±b2+C
dx(cosx)2=tgx+C
a2-x2 dx=x2a2-x2 +a22arcsinxa+C
dx(sinx)2=-ctgx+C
x2±a2 dx= x2x2±a2+a22lnx+x2±a2+C
sinxdx=-cosx+C cosx dx=sinx+C ax dx= axlna+C shx dx=chx+C chx dx=shx+C dx(shx)2=-cthx+C dx(chx)2=thx+C
dxa2+x2=1aarctgxa+C
1x dx=lnx+C x≠0
dxa2-x2=12alna+xa-x+C
dx1+x2=arctgx+C-arcctgx+C
xdxa2±x2=±12lna2±x2+C
dx1-x2=arcsinx+C-arccosx+C
dxa2-x2=arcsinxa+C
dx1-x2=12ln1+x1-x+C
dxx2±a2=lnx+x2±a2+C
dxx2±1=lnx+x2±1+C
xdxa2±x2=±a2±b2+C
dx(cosx)2=tgx+C
a2-x2 dx=x2a2-x2 +a22arcsinxa+C
dx(sinx)2=-ctgx+C
x2±a2 dx= x2x2±a2+a22lnx+x2±a2+C
sinxdx=-cosx+C cosx dx=sinx+C ax dx= axlna+C shx dx=chx+C chx dx=shx+C dx(shx)2=-cthx+C dx(chx)2=thx+C
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