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mathematics
precalculus 1st

Questions and Answers of Precalculus 1st

Evaluate the following integrals analytically. f cos- 40 ᏧᎾ
Evaluate the following integrals analytically. [sin sin 3x cos 3x dx
Evaluate the following integrals or state that they diverge. S6 = 0 -dx x4 - 1
Evaluate the following integrals or state that they diverge. x² In (1/x) dx
Evaluate the following integrals analytically. [x² x² ln x dx
Evaluate the following integrals analytically. fet sin ex sin x dx
Evaluate the following integrals or state that they diverge. L'eve 0 - dx √x
Evaluate the following integrals or state that they diverge. 4 1 (x-3)³/2 12 dx
Evaluate the following integrals analytically. [x² co x² cos x dx
Evaluate the following integrals or state that they diverge. 0 TT/2 sec x tan x dx
Evaluate the following integrals analytically. 1 1 - cos de 0
Evaluate the following integrals or state that they diverge. 1 3(2x + 6)2/3 dx
Evaluate the following integrals analytically. x² -4 x + 4 - dx
Evaluate the following integrals or state that they diverge. 1₁²√x²=1² dx √x - 1
Evaluate the following integrals. dx V9x2
Evaluate the following integrals or state that they diverge. π/2 S™ 0 tan 0 de
Evaluate the following integrals. 8 dx V2x
Evaluate the following integrals or state that they diverge. 8 0 dx X
Evaluate the following integrals. 0 00 xex dx
Evaluate the following integrals. S 1 dx (x + 1)⁹
Evaluate the following integrals or state that they diverge. tan-1 X x² + 1 S -dx
Evaluate the following integrals or state that they diverge. X S₂₂ (x + 2)² 0 dx 2
Evaluate the following integrals. [6 sec sec4 x dx
Evaluate the following integrals. dx V1 - 2x²
Evaluate the following integrals or state that they diverge. 8 [27/ X TT sin - dx X
Evaluate the following integrals. dx x4 - 10x² + 9 √x
Evaluate the following integrals. 1 -1 X + 1 -dx
Evaluate the following integrals. "sint + tan t cos² t - dt
Evaluate the following integrals. [x x sin x cos x dx
Evaluate the following integrals. x4 6x² 5x2+4 - dx
Use a table of integrals to determine the following indefinite integrals.Table of integrals Table of Integrals* W√√at de a+x dr = √(a+r)- aln [√x + √x+a] Var + bdx = 2 152 (-26² + abr
Evaluate the following integrals. [s sin x cos 2 x dx
Evaluate the following integrals. 1 x²√x² + 9 √= dx
Evaluate the following integrals. J x tan¹x² dx
Evaluate the following integrals. 1 X ¹ + x dx
Use a table of integrals to determine the following indefinite integrals.Table of integrals Table of Integrals* W√√at de a+x dr = √(a+r)- aln [√x + √x+a] Var + bdx = 2 152 (-26² + abr
Evaluate the following integrals. Je e* sin 4x dx
Evaluate the following integrals. t²e¹ dt
Evaluate the following integrals. sin sin² x cos4 x dx
Evaluate the following integrals. dx √√36² - 1² 2
Evaluate the following integrals or state that they diverge. ,00 - 1 x(x + 1) dx
Evaluate the following integrals. 4x - 2 3 X X dx
Evaluate the following integrals or state that they diverge. 1 x?(x+1) dx
Evaluate the following integrals. | dx V16 + 4x²
Evaluate the following integrals. "x² + 12x - 4 x² - 4x X dx
Evaluate the following integrals. x + 2 - dx 2 x² + 4
Apply the Midpoint and Trapezoid Rules to the following integrals. Make a table similar to Table 7.5 showing the approximations and errors for n = 4, 8, 16, and 32. The exact values of the integrals
Evaluate the following integrals. Star tan² x dx
Evaluate the following integrals or state that they diverge. S 3x² + 1 3 x³ + x - dx
Evaluate the following integrals. 5/2 x 1/2 x3/2 - dx
Evaluate the following integrals. dx √x² - 81 2 X x > 9
Evaluate the following integrals. [sin³ sin³ x cos³/2 x dx
Evaluate the following integrals. "x² + 20x15 3 x³ + 4x² - 5x - dx
Evaluate the following integrals. Sear e³x cos 2x dx
Evaluate the following integrals. [s sin 3/2 x cos³ x dx
Evaluate the following integrals. 1 x²√√/9 - x² dx
Evaluate the following integrals or state that they diverge. a 00 ex dx, a real
Evaluate the following integrals or state that they diverge. ,00 0 - dx e²x 2x ₂2r + 1 е
Evaluate the following integrals using a trigonometric substitution. S +3 √x² + 4 =dx
Evaluate the following integrals using a trigonometric substitution. x³ 3 V4-x2 dx x²
Evaluate the following integrals. y + 1 1₁³ y³ + 3y² - 18y 3 2 dy
Evaluate the following integrals. x(3x + 2) √x³ + x² + 4 S² dx
Evaluate the following integrals. fx sec x sec¯¹ x dx, x ≥ 1
Use a table of integrals to determine the following indefinite integrals.Table of integrals Table of Integrals* W√√at de a+x dr = √(a+r)- aln [√x + √x+a] Var + bdx = 2 152 (-26² + abr
Evaluate the following integrals. [sin sin³ x cos²x dx
Evaluate the following integrals. 1 (1 + x²)3/2 -dx
Evaluate the following integrals. 4 со cos¹ x - dx sinx
Evaluate the following integrals or state that they diverge. 0 00 dx 1 + x²
Evaluate the following integrals using a trigonometric substitution. S √2 √x² - 1 2 X dx
Evaluate the following integrals. 10x x² - 2x - 24 X 2 -dx
Evaluate the following integrals. tan¹x dx
Use a table of integrals to determine the following indefinite integrals.Table of integrals Table of Integrals* W√√at de a+x dr = √(a+r)- aln [√x + √x+a] Var + bdx = 2 152 (-26² + abr
Evaluate the following integrals. [cos cos³ x V sin x dx
Evaluate the following integrals. 1 (1-x²)3/2 dx
Evaluate the following integrals or state that they diverge. COS *cos (π/x) x² 2 S 2 - dx
Evaluate the following integrals using a trigonometric substitution. M 1-x² X -dx
Evaluate the following integrals. 21x² x³x² - 12x X -dx
Evaluate the following integrals. sin³ x 5 cos³ x dx
Evaluate the following integrals. I sin sin ¹x dx
Use a table of integrals to determine the following indefinite integrals.Table of integrals Table of Integrals* W√√at de a+x dr = √(a+r)- aln [√x + √x+a] Var + bdx = 2 152 (-26² + abr
Evaluate the following integrals. dx √x² - 49 2 1 , x > 7
Evaluate the following integrals or state that they diverge. 00 Ső cos x dx
Evaluate the following integrals. 5x - dx 9-x-zx
Evaluate the following trigonometric integrals. Sta tan³0 sec ³0 de
Evaluate the following integrals. In²(x²) X -dx
Evaluate the following integrals. I sin sin³ x cos² x dx
Evaluate the following integrals. [√64 - x² dx 2
Evaluate the following integrals. In x x 10 dx
Evaluate the following integrals or state that they diverge. ,00 Бохе 0 - 2 xe dx
Evaluate the following integrals. fx1 x ln x dx
Evaluate the following integrals. dt 1² - 9 2
Evaluate the following integrals. Isin sin³ x cos5 x dx
Evaluate the following trigonometric integrals. [esc² csc² x cotx dx
Evaluate the following integrals. e2x e²-4ex Se -dx
Evaluate the following integrals. (36 - 9x²)-3/² dx
Evaluate the following integrals or state that they diverge. 0 x √√√x² + 1 .2 X =dx
Evaluate the following integrals. 6 x² - 2 - dx 1
Evaluate the following trigonometric integrals. sin t cos t dt
Evaluate the following integrals. Je et et - 2ex dx
Evaluate the following integrals. [x x² In x dx

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