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Chapter 6: Q. 15 (page 510)

For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals

蟺鈭�02x4dxand蟺鈭�02(x4-16)dx

Short Answer

Expert verified

The integral蟺鈭�02x4dxis bigger

Step by step solution

01

Given information

We are given two integrals

蟺鈭�02x4dxand蟺鈭�02(x4-16)dx

02

Explaination

The term x4isbiggerthantermx4-16

Hence on integrating we will get the term 16x in second integral And after substituting the limits the second term will be 16 less than that of first term. Hence the first term is bigger

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Most popular questions from this chapter

In the process of solving the differential equation dydx=1-yby separation of variables, we obtain the equation 鈭�ln鈦�|1鈭�y|=x+C. After solving for y, this equation becomes y=1鈭�Ae鈭�x. Given that y>1, how is A related to C?

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