resut. 397. 398. 399. Id dx 19-2 dx 11-16x² dx √9+x²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please solve 397,399

395.
396.
398.
399.
400.
In the following exercises, find each indefinite integral,
using appropriate substitutions. and state the domain of the
resut.
397.
401.
402.
ax
x√√x² - 1
2/√3
1
dx
x√√√x² - 1
dx
√9-x² 2
dx
√1 - 16x²
dx
9+x²
dx
25+ 16x²
dx
Ix√√√x²-9
dx
SURIVARE
Ix√4x² - 16
407. [T]
408. [T]
In the following exercises, solve for the antiderivative ff
of f with C = 0, then use a calculator to graph f and
the antiderivative over the given interval [a, b]. Identify a
value of C such that adding C to the antiderivative recovers
the definite integral F(x) = f(
409. [T]
410. [T]
411.
9
9+x²
412.
Page
A
COSX
4+ sin²x
sin-¹ tdt
√₁-1²
-dx over [-3, 3]
dx over [-6, 6]
at
Set 2 dx
2x
1 +
1
f(t)dt.
-dx over [-6, 6]
dx over [-6, 6]
In the following exercises, compute the antiderivative
using appropriate substitutions, and state its domain.
dt
sin-¹1-²
of 7
ZOOM
+
|
Transcribed Image Text:395. 396. 398. 399. 400. In the following exercises, find each indefinite integral, using appropriate substitutions. and state the domain of the resut. 397. 401. 402. ax x√√x² - 1 2/√3 1 dx x√√√x² - 1 dx √9-x² 2 dx √1 - 16x² dx 9+x² dx 25+ 16x² dx Ix√√√x²-9 dx SURIVARE Ix√4x² - 16 407. [T] 408. [T] In the following exercises, solve for the antiderivative ff of f with C = 0, then use a calculator to graph f and the antiderivative over the given interval [a, b]. Identify a value of C such that adding C to the antiderivative recovers the definite integral F(x) = f( 409. [T] 410. [T] 411. 9 9+x² 412. Page A COSX 4+ sin²x sin-¹ tdt √₁-1² -dx over [-3, 3] dx over [-6, 6] at Set 2 dx 2x 1 + 1 f(t)dt. -dx over [-6, 6] dx over [-6, 6] In the following exercises, compute the antiderivative using appropriate substitutions, and state its domain. dt sin-¹1-² of 7 ZOOM + |
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