· Use integration by parts to evaluate (6xe*dx.-7xA)(7x+1)(6e7*)бе+C49B)-7xе+C7C)(6e7")-7xбе+C49D)x( 6e+C7E)-7xe+C7

Use integration by parts to evaluate |6xe* dx. (7x+1)(6e*) +C A) бе 49 B) -7x e +C 7 | C) (6e"*) -7x бе +C 49 D) x(6e*) -7x +C 7 E) -7x e +C 7

Use integration by parts to evaluate |6xe* dx. (7x+1)(6e) +C A) бе 49 B) -7x e +C 7 | C) (6e") -7x бе +C 49 D) x(6e*) -7x +C 7 E) -7x e +C 7

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 16E

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Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

· Use integration by parts to evaluate (6xe*dx.
-7x
A)
(7x+1)(6e7*)
бе
+C
49
B)
-7x
е
+C
7
C)
(6e7")
-7x
бе
+C
49
D)
x( 6e
+C
7
E)
-7x
e
+C
7

Expert Solution

Step 1

$g i v e n I = \int 6 x e^{- 7 x} d x i f u = x a n d v = e^{- 7 x} t h e n w e u s e i n t e g r a t i o n b y p a r t s F o r m u l a \int u v d x = u \int v d x - \int [\frac{d}{d x} u \int v d x] d x + c$

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