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Math Formulas > Calculus > Integrals of Exponential and Logarithmic Functions

Integrals of Exponential and Logarithmic Functions

Function Integral
lnx xlnx - x + c
logx (xlnx - x) / ln(10) + c
logax x(logax - logae) + c
ex ex+c
ek∙x 1 / k ∙ ek∙x + c
ax ax / lna + c
xn 1 / (n+1) ∙ xn+1 + c, where |n|≠ 1 
1/x = x-1 ln|x|+c
x = x1/2 2/3 ∙ (√x)3 + c = 2/3 ∙ x3/2 + c, where c is a constant


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