4 O T OFind the integral using anappropriate trigonometricsubstitutionV25x2 – 1|x4A.V25x2 – 1dx =25x2 – 16 + 4 sec-1x4В.V25x2 – 1dx =25x2 - 16 – sec-1- Cx4C.V25x2 – 1dx =|25x21- 4 sec1+ Cx4D.V25x2 – 1dx =25x2 – 16 – 4 sec-1x4FiltersAdd a caption.> Status (Contacts)II

Answered: Image /qna-images/answer/e1a1b4bf-47e1-4136-aed0-284511fb927b.jpg

Answered: Find the integral using an appropriate…

Math

Trigonometry

Find the integral using an appropriate trigonometric substitution 25x2 – 1 dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Q: Evaluate integral using trigonometric substitution.

Q: Evaluate the integral using the trigonometric substitution x = 4 se dx 5. x² Vx2 – 16

Q: (b) Evaluate the integral using by parts (* sin 2xdx formula:

A: Let I=∫x2sin2xdx. We have to evaluate the integral by using integration by parts.

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

Q: use a geometry formula to find the exact value of the definite integral 2x dx on the inteval [a,b]

A: As a first step let's plot the graph y = 2x and the line x = a and x = b. The line is blue is the…

Q: dx sin 3x cos 4x

Q: 1e uex dx (3+x²)5/2 x3 Ue be

A: ∫03x33+x252 dx Consider, ∫x33+x252 dx Put, x=3 tanθ⇒1=3 sec2θ·dθdx⇒dx=3 sec2θ dθ Therefore,…

Q: Use a trigonometric substitution to evaluate the integral. dx

Q: de 2)

A: we have to evaluate the following integrals using trigonometric substitutions. 1) ∫2x3x2-1dx 2)…

Q: Evaluate the integral using NOTE: Enter the exact answer. sec(7x) tan (7x) dx = appropriate…

Q: 2 - Vx 8. I (x + 1)² dx

A: Evaluate: ∫2-xx+12dx

Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides,…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Given information:

Q: Use trigonometric substitution to find or evaluate the integral

Q: 1 dx 4x2 +9

Q: use the table of integral to find integral x 3 sin x dx

A: Finding integration of x3sinx using integration by parts We knw that if product of two function is…

Q: Evaluate the integrals ∫cos θ . sin (sin θ) dθ

A: Given: ∫cosθ.sinsinθdθ for evaluating this integral, we substitute sinθ=t now differentiate both…

Q: x²dx V 2х-x2

Q: 4 sin320 cos20 d0

Q: Vx dx 4 + 3Vx

Q: Sa cosxcos(sinx)dx

Q: х2 — 49 dx .

Q: Evaluate the integral using the trigonometric substitution x =2 tan0 . x3 %3D dx x² + 4 Vx²

Q: Evaluate the integral by using trigonometric substitution. x2 dx Vx² – 25

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

Q: (a) / va - Va? – a² dx

Q: 2. (x²-1)3/2 - dx

A: Given: ∫x2-13/2xdx substitute u=x2-1→dudx=xx2-1→dx=x2-1xdu =∫u4u2+1du Perform…

Q: 5x³/1 – x² dx

A: To evaluate the integral ∫01 5x3 1 - x2 dx

Q: хах 2. S (V16-x2) 3

Q: Find the integral using an appropriate trigonometric substitution V25x² – 1 dx

Q: Evaluate the integral using trigonometric substitution ∫3x^5√16-x^2 dx

A: ∫3x516-x2 dx Put, x=4sinθ⇒1=4cosθ·dθdx⇒dx=4cosθ dθ

Q: To evaluate the integral Vx2 + 4x + 5 dx using a trigonometric substitution, use the substitution…

A: As we know that 1+tan2x=sec2x

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: use an appropriate substitution and then a trigonometricsubstitution to evaluate the integrals.

Q: 16 + x² dx, x = 4 tan(0)

A: Bn

Q: evaluate the integral by completing the square and using trigonometric substitution.

Q: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

A: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

Q: Find the integral using Trignometric substitution. sqrt(x^2-81)/(x^2)dx=

A: Consider the given integral: I=∫x2-81x2dx Here, the objective is to find the value of I using…

Q: V1-x² 3. S -dx

Q: Calc 2 Question:

Q: V9x2 + 25 1.

A: Given: ∫9x2+25x2dxFormula: ∫fg'=fg-∫f'g; f=9x2+25 ; g'=1x2f'=9x9x2+25; g=-1xTherefore,…

Q: V2x² – 4 dx V2

A: ∫222x2-4x dx Consider, ∫2x2-4x dx Put, x=2 secθ⇒1=2 secθ tanθ dθdx⇒dx=2 secθ tanθ dθ Therefore,…

Q: Find the integral ∫ x/ √(1 − x2 )dx using u-substitution.Then find the integral using trigonometric…

A: Given: ∫x1-x2dx

Q: Evaluate the integral f v96 + 16x² dx using trigonometric substitution.

Q: Evaluate the integral using Trigonometric Sub. 3 + 2z + 11)2dz -2

Q: Use appropriate substitution and then a trigonometric substitution to evaluate the integral. dx for…

A: The given integral is ∫dxxx2-4. First, use the substitution x=2t. Then, dx=2dt. Substitute the…

Q: xdx 3 2.

A: Given : ∫xdx16-x23

Q: After choosing the appropriate trigonometric substitution the integral du, becomes

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

Q: Which is NOT included in evaluating the integral? (Use the Trigonometric Substitution method.) dx 4…

Question

4 O T O
Find the integral using an
appropriate trigonometric
substitution
V25x2 – 1
|
x4
A.
V25x2 – 1
dx =
25x2 – 16 + 4 sec-1
x4
В.
V25x2 – 1
dx =
25x2 - 16 – sec-1
- C
x4
C.
V25x2 – 1
dx =
|25x2
1- 4 sec1
+ C
x4
D.
V25x2 – 1
dx =
25x2 – 16 – 4 sec-1
x4
Filters
Add a caption.
> Status (Contacts)
II

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
integral from 0 to pie over 4 of sin^2 (4x) cos^2 (2x) dx
Evaluate the integrals ∫et cos (3et - 2) dt
Evaluate the integral of 0∫3 3x3+2x+10dx a. analytically b. using Simpson's 3/8 rule with 3 intervals. (show detailed breakdown please)
evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9
set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx
How large should n be to guarantee that the Trapezoidal Rule approximation to integral of (-x^4+16x^3-90x^2+5x-3) dx from bounds 3 to 5 is accurate to within 0.01 n=
Estimate the error in approximating the integral from 1 to 3 2x^3dx with n=4 by using the trapezoidal rule or simpsons rule.
Compute the approximation of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you do not need to simplify or find the decimal approximation
Suppose f has absolute minimum value m and absolutemaximum value M . Between what two values must ∫02f(x) dxlie? Which property of integrals allows you to make your conclusion?
Evaluate the integral in terms of Beta function: ∫x^12(1−x)^16 dx limit: 0 to 1