Question

(d) Compute the anti-derivative $\int e^{-2x} \sin(3x)dx$ without integrating by parts. An outline: integrate $e^{(3i-2)x}$ \text{``the Calc-I way''} and then take the imaginary part of the result.

Name: (d) Compute the anti-derivative ∫ e^-2xsin(3x)dx without integrating by parts. An outline: integrate e^(3i-2)x “the Calc-I way” and then take the imaginary part of the result.
Uploaded: 2023-06-30T03:35:24-08:00
Duration: 3 min 3 s
Channel: Madhur L
Description: (d) Compute the anti-derivative ∫ e^-2xsin(3x)dx without integrating by parts. An outline: integrate e^(3i-2)x “the Calc-I way” and then take the imaginary part of the result.

          (d) Compute the anti-derivative $\int e^{-2x} \sin(3x)dx$ without integrating by parts. An outline: integrate $e^{(3i-2)x}$ \text{``the Calc-I way''} and then take the imaginary part of the result.

(d) Compute the anti-derivative ∫ e^-2xsin(3x)dx without integrating by parts. An outline: integrate e^(3i-2)x “the Calc-I way” and then take the imaginary part of the result.

Added by Carolyn V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/30/2023

Step 1

The integral of e^(ax) with respect to x is (1/a)e^(ax), so the integral of e^(-2x) is (-1/2)e^(-2x). Show more…

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(d) Compute the anti-derivative int e^(-2x)sin(3x)dx without integrating by parts. An outline: in- tegrate e^((3i-2)x) "the Calc-I way" and then take the imaginary part of the result. (d) Compute the anti-derivative f e-2x sin(3x)dx without integrating by parts. An outline: in