.4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e -2 +3 sec e

Q: 11 2x° dx. x-3 Evaluate 6.

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Q: cos 2.

A: Using the trigonometric formula,  cos2θ=2cos2θ-1⇒cos2θ+1=2cos2θ⇒cos2θ+12=cos2θ⇒cos2θ=cos2θ+12 Taking…

Q: 4. Find the principal representative of each of the following: x³ -x + 1 mod x + 2 in Q[x] i. x3 ii.…

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Q: S(csc x cot a + 8x7)dx csc x x8 + c - cs x x8 + c - - - csc x + x8 + c - csc x + x8 + c O cot a + 8…

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Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: 0 -00 3 3 1 - 4x dx

A: Given query is to find the value of the integral.

Q: √ (cot² x - 7) dx

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Q: substitution u = √x to evaluate √√√x+1 s X dx

A: The objective is to evaluate the integral.

Q: +/3 •п/4 Г sec 0 p² tan 0 seco dp d0 do

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Q: sin 2x dx. sin a

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Q: 5 cot² √√x √.x dx

A: To integrate the given expression cot2⁡(x)x, it can use the substitution method. Let's make the…

Q: Sin ndn

A: To evaluate the given integral

Q: Cos h2

A: The given series is ∑n=1∞1n2cos1n. Let an=1n2cos1n. Note that, the bound of cosine function is…

Q: cos X Z 50 48 14 Y

A: NOTE: Refresh your page if you can't see any equations. . here we have XY=14 XZ=50

Q: I sinx cos³x dx Select one: O a. O b. O c. O d. O e. - - sin³x 3 cos³x 3 sin³x 3 cos³x 2 cos³x 3 +C…

A: The integral expression is Here the aim is to integrate so, use the method of substitution let…

Q: 4. Express the greatest common divisor of the following pairs of polynomials as a combination of the…

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Q: Solue the eauation for X 2 Cosh 5x + lo Sin 5X -5

A: We need to find the value of x for the equation 2 cosh5x+10 sin5x=5. As the above function can't be…

Q: f(x,y)=21 (x+y) x=1,2,3, ; y=1,2 other situations

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Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: +2x x+4 xp- 5.

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x3(x2+4)-5x3+2xx2+4dx=…

Q: | Vx² + 16 Use an appropriate trigonometric substitution to evaluate dx.

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: 4x2 - 3х + 2 dx. Evaluate 4x - 4х +3

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Q: Evaluate ftan tan4 r sec4 rdr +C

A: M=∫tan4xsec4xdx1+tan2x=sec2xd dx(tanx)=sec2x

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Please find the attachment