Q. 46 - Calculus

Question

Integral Formulas: Fill in the blanks to complete each of the following integration formulas.

$\int sec{\mathrm{h}}^{2}xdx=...$ 

Step-by-Step Solution

Answer

The value of $\int sec{\mathrm{h}}^{2}xdx=\tanh x+\mathrm{C}$.

Step 1. Given information.

Consider the given integral function $\int sec{\mathrm{h}}^{2}xdx$.

Step 2. Fill the blank for the integral function ∫ s e c h 2 x d x .

The theorem of Integrals of Hyperbolic Functions states that $\int sec{\mathrm{h}}^{2}xdx=\tanh x+\mathrm{C}$.

Therefore, it can be said the appropriate fill in black will be $\int sec{\mathrm{h}}^{2}xdx=\tanh x+\mathrm{C}$.