1. Without the use of U-substitution evaluate the integral of 5x* – 3x?(x5 – x³+ 2)$dx

Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: How to evaluate the integral of [(dx)/(9-x2)(3/2)]

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Q: Evaluate the integral. 3. (In(x))² x3 dx 1

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

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

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Q: Evaluate the integral. '2 (x - 8|x|) dx -1

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Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: Evaluate the indefinite integral ∫(3x2−6x+2cosx)dx.

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Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

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Q: Evaluate the integrals ∫ 1/x3/2 - √x dx

A: Given: integration

Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: 1. Evaluate the integrals x³e- dx

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Q: Evaluate the integral. √3/2 x² V1-x² dx

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Q: 1. Evaluate the ff. integral f, (5x6 + 3x³ + 6)dx ·1

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Q: dx (1 – x3

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Q: 2.x D' -8 .

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Q: 2ea dx (ет — 1)2 1

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Q: Evaluate the integral x³/x² - 7 dx.

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Q: •3 In 2x dx Evaluate the definite integral : 8x5

A: Evaluate the intregal

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

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Q: S(1+- x3 dx 1+x2, 3

A: Topic- integration

Q: 3. Evaluate the integrals √tanh x sech² xdx

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Q: 4. Evaluate the indefinite integral. 24x³e(2x*) dx

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Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

A: Given that, a) ∫sec32x tan 2x dx b) ∫x2x+1dx For evaluating those indefinite integrals,  we need to…

Q: Evaluate the integral. 7 √49-x² √49-x²-22 49-x² 1 √²-3³ (x² + y² + 2²)1/2 dy dz dx =

A: Solution:-

Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: =dx V2x* +3 4

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Q: Evaluate the integral x Cx²-3) dx

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Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

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Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: 2 3. Evaluate the integral ||x dx -2 O 2 4

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Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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Q: 1. Use integration by parts to find the integral below. In(x19)– 9x10+C a. b. x ·In(x1)– 10x10+ C c.…

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Q: Evaluate the integrals

A: ∫1e1x(1+7 ln x)-13dx

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: 8) Evaluate the Integral x2 + 2x dx

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Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 1)6 dx + C

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Q: Evaluate the integral. x2 2 - x3 dx =

A: We can observe that,  Numerator x2 is of the form of derivative of 2-x3 So, it can be used to…

Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

Q: Evaluate the integral of (x^2)/(x^2 + a^2)^3/2 dx

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Q: 6. Evaluate the integral. x³e2x dx

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Q: Evaluate the integral. . 4 1) x In 2x dx 1

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Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

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Q: Find the indefinite integral J(-16r² – 4x + 6)dr. a. -12r-4x + 6r +C b. -4x*- 2r+ áx +c c. -4x-2r+…

A: Solve the following

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx