Explain how to evaluate .

Problem 2E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

Calculus: Early Transcendentals | 1st Edition

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Problem 2E

Explain how to evaluate .

Step-by-Step Solution:

Step 1 of 3

Problem 2E

Explain how to evaluate .

Answer;

Step-1;

The given integral is $\int\limits_{a}^{\infty{}}$ f(x)dx.

Now , we have to evaluate $\int\limits_{a}^{\infty{}}$ f(x)dx.

We , know the formula $\int\limits_{\ }^{\ }{x}^{n}$ dx = $\frac{{x}^{n+1}}{n+1}$ +C , C is constant ………..(1)

Therefore , $\int\limits_{a}^{\infty{}}\ f(x)$ dx = ${(\frac{(f(x){)}^{2}}{2}{)}^{\infty{}}}_{a}^{\ }$ +C , since from (1).

= $(\frac{1}{2}\ (f(x){)}^{2}$ ${{)}^{\infty{}}}_{a}^{\ }$ +C.

= $\frac{1}{2}$ ( $\ (f(\infty{}){)}^{2}$ -

Step 2 of 3

Step 3 of 3

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