Question

4. Evaluate the following integral. $\int 5x \cdot e^{2x} dx$ A. $\frac{5}{4}e^{2x} (2x-1)+C$ B. $\frac{1}{4}e^{2x} (2x-1)+C$ C. $\frac{5}{2}e^{2x} + C$ D. $\frac{5}{2}e^{2x} (2x-1)+C$

Name: 4 evaluate the following integral int 5x cdot e2x dx a frac54e2x 2x 1c b frac14e2x 2x 1c c frac52e2x c d frac52e2x 2x 1c 60026
Uploaded: 2021-05-03T11:14:15-08:00
Duration: 1 min 58 s
Channel: Vipender Yadav
Description: 4 evaluate the following integral int 5x cdot e2x dx a frac54e2x 2x 1c b frac14e2x 2x 1c c frac52e2x c d frac52e2x 2x 1c 60026

          4. Evaluate the following integral. $\int 5x \cdot e^{2x} dx$
A. $\frac{5}{4}e^{2x} (2x-1)+C$
B. $\frac{1}{4}e^{2x} (2x-1)+C$
C. $\frac{5}{2}e^{2x} + C$
D. $\frac{5}{2}e^{2x} (2x-1)+C$

$4 evaluate the following integral int 5x cdot e2x dx a frac54e2x 2x 1c b frac14e2x 2x 1c c frac52e2x c d frac52e2x 2x 1c 60026$

Added by Belen S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vipender Yadav

05/03/2021

Step 1

This integral can be solved using integration by parts, which states that $\int u \, dv = uv - \int v \, du$. Step 2: Choose $u$ and $dv$. A common strategy for integration by parts with a product of a polynomial and an exponential function is to let $u$ be the Show more…

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4. Evaluate the following integral. $\int 5x \cdot e^{2x} dx$ A. $\frac{5}{4}e^{2x} (2x-1)+C$ B. $\frac{1}{4}e^{2x} (2x-1)+C$ C. $\frac{5}{2}e^{2x} + C$ D. $\frac{5}{2}e^{2x} (2x-1)+C$