Integrals of Exponential and Logarithmic Functions


To obtain the integral formula for exponent and logarithmic functions, let us consider the derivative of functions presented in the following table,


Recalling that integral is anti-differential, then:

Example 2.
Solve the integral results of ∫ 2 ex dx.
Answer:
∫ 2 ex dx = 2ex + c

Example 3.
Solve the integral results of ∫ 2 ex dx.
Answer:
∫ 2 ex dx = 2ex + c

Example 4.
Solve the integral results of 

.
Example 5.
Solve the integral results of ∫ e2x dx.
Answer:

Example 6.
Solve the integral results of 


Answer:

Example 7.
Solve the integral results of ∫ 52x dx.
Answer:




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