Engng Math 145 Integrals

Integral of sinx, cosx

-cosx

sinx

Integral of sec²x, csc²x

tanx

-cotx

Integral of csc(x)cot(x), sec(x)tan(x)

-cscx

secx

Integral of f’(x) / f(x), 1/x

ln|f(x)|

ln|x|

Integral of a^x, e^{x ln(a)}

a^x / ln(a), because equal

Integral of ln(x)

xln(x) - x

Integration rules

Reverse chain rule

f(g(x)) dx = F(g(x)) / g’(x)

Integration by parts

Add boundaries to both terms if definite integral.

Integration

kxⁿ dx = [kxⁿ⁺¹ / n+1] + C