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Chapter 4: Q. 7 (page 403)

Fill in the blanks to complete each of the following theorem statements:

7. If fis on [a,b], then for all x鈭�[a,b]

localid="1648820555152" ddx鈭�axf(t)dt=____

Short Answer

Expert verified

If fis on [a,b], then for alllocalid="1648820602757" x鈭�[a,b]

localid="1648821198091" ddx鈭�axf(t)dt=f(x)

Step by step solution

01

Step 1. Given information

We have to complete the statement,

If fis on [a,b], then for allx鈭�[a,b]

ddx鈭�axf(t)dt=____

02

Step 2. Fill in the blanks

If fis on [a,b], then for all x鈭�[a,b]

localid="1648821183890" ddx鈭�axf(t)dt=f(x)

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Most popular questions from this chapter

Verify that鈭�lnxdx=x(lnx-1)+C(Do not try to solve the integral from scratch.

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