Use NINT on a calculator to find the numerical integral of the function over the specified interval.
-$$f ( x ) = \frac { 1 } { x } ; \left[ 1 , e ^ { 6 } \right]$$
A) 7
B) 0
C) 6
D) 8

Question

Quizplus · Accepted Answer

The integral of $f(x) = \frac{1}{x}$ from 1 to $e^6$ is equal to the natural logarithm of $e^6$ minus the natural logarithm of 1, which simplifies to $ln(e^6) - ln(1) = 6ln(e) - 0 = 6$, since $ln(e) = 1$ and $ln(1) = 0$.

Use NINT on a Calculator to Find the Numerical Integral f(x)=1x;[1,e6]f ( x ) = \frac { 1 } { x } ; \left[ 1 , e ^ { 6 } \right]f(x)=x1​;[1,e6]

Use NINT on a Calculator to Find the Numerical Integral $f ( x ) = \frac { 1 } { x } ; \left[ 1 , e ^ { 6 } \right]$