Verify the integration formula.
-$$\int 8 \tanh 8 x d x = \ln \cosh ^ { - 1 } 8 x + C$$

Name: Verify the integration formula. -\[\int 8 \tanh 8 x d x = \ln \cosh ^ { - 1 } 8 x + C\]
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Question

Quizplus · Accepted Answer

The correct integration result should be $\int 8 \tanh(8x) dx = \ln(\cosh(8x)) + C$. The given formula incorrectly uses the inverse cosine hyperbolic function notation ($\cosh^{-1}$) instead of the natural logarithm of the hyperbolic cosine function.

Verify the Integration Formula ∫8tanh⁡8xdx=ln⁡cosh⁡−18x+C\int 8 \tanh 8 x d x = \ln \cosh ^ { - 1 } 8 x + C∫8tanh8xdx=lncosh−18x+C

Verify the Integration Formula $\int 8 \tanh 8 x d x = \ln \cosh ^ { - 1 } 8 x + C$