Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: e Evaluate the integral -dx. You may need to do the appropriate substitution first. x3

A: See the details solution in below

Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: 2. Find a) ³ dx b) xdx. Hence, find whether the following integrals exist and, if they do, find…

A: To evaluate the given improper integrals

Q: Evaluate the indefinite integral. (use C for the constant of integration.) (-1) 6+C J (- 7)7 18(x…

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Q: b) (x-1)3 1 dx = ?

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Q: a) Integrate the following expressions with respect to x. Then, find the value of the function…

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Q: 2 b) S dx e-x +1

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Q: 2,31 dx

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Q: = x2, dv = xe*, and use a substitution to find v from dv. Use C Use integration by parts to find the…

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Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: 8) S-x+3 x2+x-2 dx

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Q: Q2: Solve the following integrals: (3) dx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4…

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: II. Find the value of the definite integral xV[a2 – 9| +7 dx 0.

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Q: Evaluate the integrals. Simplify your answers. dx J4/3 4x+vx³

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Q: Decide on what substitution to use, and then evaluate the given integral using integration.) x² dx…

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Q: What values of a and b maximize the value of the definite integral | (x - x²) dx a a = b =

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Q: x3 + 3x + 1 dx| J (x + 1)²(x – 2)² Find A, B, C, and D then find the integral?

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Q: e2x Evaluate the integral: dx 1 + eX

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Q: x? dx (x² – 25)5/2

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Q: II. Perform the integration sinh? (e¬) 4. e# cosh(e-¤) dx

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Q: Find the integral of the function 6x * ln(x^2). The answer should be in form (Ax^B)(ln(x^2)+F)+C.…

A: Here we use integration by parts.

Q: "/2 sin³ x dx Evaluate the following integral:

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Q: 1 dx ? %3D (x-1)3 8-

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Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts.

Q: Q/ Find the integral 1 + X dx 1-X

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Q: 5) f dx the correct solution of this integral is:- 1+X* A) 2 V5 В) Зл

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Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: aluate the definite integral. x6 + a2 dx (a > 0)

A: We have to find the integral

Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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Q: d.x -x2-4x

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Q: dx Find the integral 16 T2.17

A: Solve by substitution integration method

Q: 2х-х2 dx

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Q: Evaluate the integral. (Use C for the constant of integration) (X^7)/(e^3-5x^8) dx

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