What must be the value of C (constant of x² - 4 -dx so that the x +2 integration) to the integral of resulting expression will be a perfect square trinomial? O 2 O 16 O None of the above

Q: dx 2. S (x²+4x+4)(x²–4)

A: We will integrate as following.

Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the…

A:

Q: GIVEN dx x² +2x+2 Find the value of the improper integral if it exists. SOLUTION TO QUESTION 10 MUST…

A: We have to find the value of the given improper integral: ∫0∞dxx2+2x+2 Rewriting the given integral,…

Q: Evaluate the integral. x dx (7x° + 3)* 5 (7x² + 3) * + c -4 O A. 56 7 O B. -(7x + 3) - +C Oc. -(7…

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

Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: The integral of the reciprocal of the square of (2x + 1), with respect to x from zero to infinity…

A:

Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are…

A:

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: To evaluate x² /1-x² dx using trigonometric substitution, what is the new integral in terms of 0 ? A…

A:

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: x8dx (а2+x?)2

A: We can solve this using substitution method and partial decomposition

Q: Evaluate the integrals a) dr 24 dy Vy-16 c) x+3 2x- 8x (b)

A:

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C…

A:

Q: x² 2 :(a² + x²)ž + C 3 15 1 |x*(a² + x?)¿ dx = -

A:

Q: Find formulas for the functions represented by the integrals.

A: To find∫3x9x+2e-udu

Q: Given the integral 6x dx and the substitution information 5x2 +1 u- 5x2 + 1 u' = 10x 1 dx = du 10x…

A: It is given that, ∫6x5x2+1 dx We have to evaluate it.

Q: Evaluate the definite integrals 6. a) | (9x? – 10x – 6) dx = %3D 4 b) (x + 3)² dx = 3 c) (x³ – x* )…

A:

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* |+ C. Where A, B, and C…

A:

Q: Evaluate the integral. (3u – 5)(u + 2) du

A:

Q: Evaluate the definite integral. 2 e 1/x5 dx х5

A: The given definite integral is,

Q: .3 What is the value of the definite integral (3t – t – 6) dt? Enter your answer as an exact…

A: ∫xndx=xn+1n+1+C

Q: 5. S (2x²-3x+10)dx (x²+4)²

A: I have stated the used formulas in the solution

Q: The integral of sin2 3xdx is x 1 -x +A + C, What is the value of A if x =-. 4 O -1/12 O 1/12 O 1/18…

A:

Q: 3. 2 1 What is the value of the integral 7xyz² dxdydz ? 0.

A:

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

A:

Q: find formulas for the functions represented by the integrals.

A:

Q: Evaluate the definite integral. 'al/3 xVx6 + a² dx (a > 0) .3 a 9.

A:

Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the…

A: Solve the indefinite integral in complete solution

Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the…

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: 3/1+

A: Let I=∫1+x+33dxPut x+3=udifferentiate dx=duI=∫1+u3duPut u=vdifferentiate…

Q: Find the definite integral of S: (2x – 1)' dæ 2 112

A:

Q: Evaluate the indefinite integral. S(4v – v²)² dv , and Show the complete solution and express the…

A:

Q: The equation is the integral of (x^3)(sqrt(1+x^2). The steps say that u=(1/2)x^2, where do they get…

A: We have given

Q: (а) 4x³ dx -2 (b) | (2г° — Зг + 6) de (c) | (2г — Зг + 6) de

A:

Q: Evaluate the definite integral. 7e +1 '2 x e4x dx = 16

A:

Q: 10 4 1 dz 2z2 29. -

A:

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx…

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45…

Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

A:

Q: 7. S√4x²+9dx

A:

Q: Evaluate the given definite integral. -2 20 -3 -2 J 2x (3-x)°dx = xp dx =(Type an integer or a…

A:

Q: 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught…

A:

Q: 10. What is the value of the definite integral ∫91−3t−7/√t dt? Enter your answer as an exact…

A: Obtain the value of the definite integral as follows.

Q: '1 1 use this fact and the properties of definite integrals to evaluate 3 (6 – 9x²) dx. Given that…

A: follow next step

Q: 2x2 + 2x + 11 dx (2x + 3)(x² + 4) (c)

A: Evaluating the integral using partial fractions.

Q: Evaluate the integral + 3)(x² + 3x + 5)* dx by making the substitution u = x² + 3x + 5. + C NOTE:…

A: We can evaluate the given integral by using the substitution u=x2+3x+5 and applying the following…

Q: 4. Evaluate the integrals. Simplify your answers. 3x+5 dx x+9 е.

A:

Q: Evaluate the definite integrals a) (92 + 4x + 9) dz b) | (2- 2)° dz (x4 r) da

A:

Q: 5. Calculate the integral f sin"( 1) cos'( t) dt, Your solution will be an expression in terms of m.…

A: