2) Evaluate each integral by dx V16-x

Q: Use trigonometric substitution to find or evaluate the integral.

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

Q: What are the integrals of tan x and cot x? sec x and csc x?

A: Find the integral of  tan x, cot x, sec x, csc x

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

A:

Q: Evaluate the integral. 14 sin?(x) cos³(x) dx

A:

Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Assume denominator to be something and then do the integration by parts to solve the question.

Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: To determine: The value of the integral tan5x dx using the computer algebra system and also by using…

Q: de 2)

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

Q: dx (49 – x²)³/2

A: Given,           ∫149-x232dx

Q: 3. Find the integral of these Trigonometric functions

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: he appropriate trigonom dx is V3x-x2

A:

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. Sce tan x)d…

A: To evaluate:∫cscx-tanx2dx

Q: Evaluate the integral. 10 sinx dx + C NOTE: Enter the exact answer in expanded form.

A: We will solve this integral by integration by parts.

Q: 5. Evaluate the integral by using trigonometric substitution.

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

Q: Evaluate the Trigonometric Integral sin (x) cos /2 (x) dæ ,3) sin° (x) cos

A:

Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given- ∫dx25x2+2 To Find- The va;lue of above integral using trigonometric substitution.

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Let

Q: Perform

A:

Q: 1 dx 4x2 +9

A:

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: Use a table of integrals with forms involving the trigonometric functions to find the indefinite…

A: Given Data The indefinite integral is ∫11+cot4xdx.   Let, 4x=vddx4x=dvdxdx=dv4   Put the values in…

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A:

Q: Use trigonometric substitution to find or evaluate the integral                      ∫√(x2 − 9) / x…

A: Integration: ∫x2-9xdxsubstitute, x2-9=z              xx2-9dx=dz                   dx=x2-9xdz…

Q: Evaluate the integral using trigonometric substitution. Draw and label the appropriate triangle and…

A: fdv ffddf

Q: 1 r+ 2 2-4x +9 2x +5 dx e)) + 8x + 25 =dx V3-2x-x 1 1 dx 25+ 9x J100-x² ²

A: These three parts can be solved using the formulas of some special integrals

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: х2 — 49 dx .

A:

Q: Use trigonometric substitution to evaluate each integral

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

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

A:

Q: CSC* x dx cot2 x cot²

A:

Q: Evaluate the integral (secle).tan co)) do

A:

Q: Find the Integral: I= = [ sin*8 dº_ndt

A: This question is related to integration.

Q: |cot x\csc²x dx sc¯x dx

A:

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: Evaluate the integral. [sin' xVcosx dx

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integralsas necessary

A: Let, Then we integrate by substitution

Q: Use trigonometric substitution to find or evaluate the integral

A: the given integral is: ∫34x3x2-9dx we have to use the trigonometric substitution to find or evaluate…

Q: The definite integral 'tan2(x) + sec2(x)]dx when evaluated is equal to AV3 + Br, where A, B are…

A:

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

A: Consider the given integration as∫x34+x2dx

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

A: Trigonometric substitutions can be used in integrals to simplify a complex integral. Some of the…

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: 4 CSC* x

A: ∫csc4xco2xdx

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

A:

Q: V9x2 + 25 1.

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

Q: Find the area of one leaf of the rose r = sin(15θ). Enter your answer in terms of π, do not use…

A:

Q: why does the integral of cot(x) dx = ln((abs(sin(x)))? and is there a way to memorize it?

A:

Q: Sxsin²xdx

A:

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: 5. | (2х + 3)V2x — 1dx

A: To solve the integral: ∫2x+32x-1 dx Solution: Let substitute t=2x-1. Differentiating both sides, we…