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Chapter 4: Q. 49 (page 315)

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

鈭�11-x2dx=....

Short Answer

Expert verified

The value of鈭�11-x2dx=tanh-1x+C.

Step by step solution

01

Step 1. Given information.

Consider the given integral function鈭�11-x2dx.

02

Step 2. Fill the blank for the integral function ∫11-x2dx. 

The theorem of Integrals of Hyperbolic Functions states that 鈭�11-x2dx=tanh-1x+C.

Therefore, it can be said the appropriate fill in black will be鈭�11-x2dx=tanh-1x+C.

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