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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

1 1 0 1 e x 2 + y 2 sin y d x d y = 0

To determine

Whether the statement, “ 1101ex2+y2sinydxdy=0 ” is true or false.

Explanation

Defition used:

If f is a continuous function and f(x)=f(x) , then f is said to be an odd function.

Formula used:

If g(x) is the function of x and h(y) is the function of y then,

abcdg(x)h(y)dydx=abg(x)dxcdh(y)dy (1)

If f is an odd function, then aaf(x)dx=0 (2)

Reason:

By the equation (1), separate the given integrals and integrate it.

1101ex2+y2sinydxdy=11ey2siny

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Chapter 15 Solutions

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