Question

Use integration by parts to evaluate the following integrals. [ egin{array}{l} int 2 x e^{3 x} d x \ int x^{2} e^{-2 x} d x \ int frac{x}{e^{x}} d x end{array} ]

          Use integration by parts to evaluate the following integrals.
[
egin{array}{l}
int 2 x e^{3 x} d x \
int x^{2} e^{-2 x} d x \
int frac{x}{e^{x}} d x
end{array}
]

$Use integration by parts to evaluate the following integrals. [ eginarrayl int 2 x e^3 x d x int x^2 e^-2 x d x int fracxe^x d x endarray ]$

Added by Flita F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Israel Hernandez

09/10/2023

Step 1

For the integral $\int 2x e^{3x} dx$, we can use the formula for integration by parts, which is $\int u dv = uv - \int v du$. We choose $u = 2x$ and $dv = e^{3x} dx$. Then, $du = 2 dx$ and $v = \frac{1}{3}e^{3x}$. Substituting these into the formula, Show more…

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