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QUESTION: Evaluate the following integrals: 1. $\int \frac{e^{1/x}}{x^2} dx$. 2. $\int \frac{1}{x^3} e^{4x^{-2}} dx$.

          QUESTION: Evaluate the following integrals:

1. $\int \frac{e^{1/x}}{x^2} dx$.

2. $\int \frac{1}{x^3} e^{4x^{-2}} dx$.

QUESTION: Evaluate the following integrals:

1. ∫(e^1/x)/(x^2) dx.

2. ∫(1)/(x^3) e^4x^-2 dx.

Added by Amparo B.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Kumareshwaran Rathinasabapathy

Step 1

Integral of e^x dx: The integral of e^x is simply e^x + C, where C is the constant of integration. Therefore, the integral of e^x dx is e^x + C. Show more…

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QUESTION: Evaluate the following integrals: 1. $\int \frac{e^{1/x}}{x^2} dx$. 2. $\int \frac{1}{x^3} e^{4x^{-2}} dx$.

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