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Chapter 5: Q 19. (page 495)

Defining improper integrals: Fill in the blanks, using limits and proper definite integrals to express each of the following types of improper integrals.

If f is a continuous on -鈭�,b, then

鈭�-鈭�bfxdx=______

Short Answer

Expert verified

鈭�-鈭�bfxdx=limk鈫�-鈭�鈭�kbfxdx

Step by step solution

01

Step 1. Given information.

Consider the given integral,

鈭�-鈭�bfxdx

02

Step 2. Defining improper integrals.

Since the given function is continuous on the given interval -鈭�,b, then,

localid="1652093197157" 鈭�-鈭�bfxdx=limk鈫�-鈭�鈭�kbfxdx

Where kis any real number.

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