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

Q: Evaluate the integral by using multiple substitutions. tan2x sec2x dx (1 + tan x)2

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Q: Evaluate the integral dr using trigonometric substitution.

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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 trigonometric substitution to find or evaluate the integral.

A: Substitute and differentiate the function to find the total differential.

Q: dx 4. +6x+6)

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Q: dx sin 3x cos 4x

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Q: find the integral of tan5x dx

A: We want to evaluate the following integral,

Q: Use the Table of Integrals to evaluate the integral.  ∫ Sin-1 √x dx

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Q: sin-3/2x cos³x dx

A: Given integral

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

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Q: Evaluate the integrals ∫sin5x/2 dx

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Q: Evaluate the integral using the indicated trigonometric substitution. -8x3 dæ, x² + 9 x = 3 tan(0)…

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Q: Evaluate the integral by using multiple substitutions. 6) ( 6 tan2 x sec2 x dx (3 + tan3 x)²

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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: 5. Evaluate the integral by using trigonometric substitution.

A: Put x = 5sec u         dx = 5sec u tan u du

Q: Find the integral ∫dx/sin22x without using a substitution.

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Q: sin x dx 1-cosx

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Q: 1 dx 4x2 +9

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Q: Evaluate the integral dr where c can be negative or positive, without trigonometric substitutions.

A: Let  I=∫dxx2+c⇒I=∫dxx2+c2⇒I=lnx+c+x2c+k

Q: I have to evaluate the integral using the indicated trigonometric substitution.

A: Given,

Q: Use the Table of Integrals to evaluate the integral.  ∫ sin2x cos x ln(sin x) dx

A: We have to evaluate ∫sin2x cosxlnsinxdx Let substitute  t=sinx ⇒dtdx=cosxdt=cosx dx Substituting…

Q: x2 dx V9 – x2

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Q: x²dx V 2х-x2

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

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Q: 11. arctan 4t dr

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Q: Evaluate the integral using Trigonometric Sub. 3 |(22 + 2z + 11)ždz

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral.

A: Given ∫0π2sinθ·ecosθdθ

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

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Q: dx J x³Vx² – 9

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Q: Evaluate the integrals below: 2 cos2x а) sin2x. [In(sin2x)]? + sin2x .dx, b) хе^.dy

A: We have to evaluate the following integrals,

Q: 5x'/1 – x² dx

A: Given: I=∫015x31-x2dx For evaluating given integral, we substitute x=sinθ…

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

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Q: Evaluate the integrals using trigonometric substitutions

A: For substitution we will put value of x such that the given expression will be simplified.  As ,…

Q: Evaluate the integral. / tan-(7x) dx +C AMOTI

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Q: 6 J tan° x dx

A: We know that  tan2x = sec2x - 1

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

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Q: Use trigonometric substitution to find or evaluate the integral                            ∫ x3 /…

A: Consider the given integration as∫x34+x2dx

Q: Te* sin( –4x)dx

A: Find your answer below

Q: Evaluate the integral by using multiple substitutions. x² sin (9x2) Vcos (9x³) dx COS 25)

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Q: Evaluate the integral using trigonometric substitution

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Q: Find the indefinite integral by making an appropriate trigonometric substitution. 22 V81-a2

A: Consider the given integral.

Q: V1-x² 3. S -dx

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Q: Evaluate the integral using Trigonometric Sub 3 + 2z + 11)ždz 2

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Q: Evaluate the integral using the substitution rule. 7/3 sin(x) dx cos?(x)

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Q: sin' (2x) cos (2x)dx =

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Q: Evaluate the integral using Trigonometric Sub. 3 – z²)ždz

A: Use Trigonometric substitution

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: エ dz

A: Integration is summation of discrete data. The integral is calculated for the functions to find…