Determine the integral by making an appropriate substitution. Sa7-21990x6 - 125) dx O 7x6 - 12x5 + C (x7.

Q: Evaluate the integral by completing the square p- x4+2x² +2

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Q: x3 + x2 + 2x + 2

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Q: Find or evaluate the integral by completing the square.

A: Consider the polynomial: ax2+bx+c. We try to obtain an expression of the form, kx+d2+e from the…

Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

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Q: dr 4x +5e+

A: On solving ,we get

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

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Q: evaluate the integrals by substitution method a42dx

A: Given:          ∫e-xe-x+2dx Apply substitution method Let   u=e-x+2 Differentiate u with respect to…

Q: 14x* – 128x + 349x? . 5x + 612x* - 5х? - х — 6) 304х + 24 d: – 5x´ - x - 6 - - 2. Find the integral…

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Q: Evaluate the integral by completing the square: dx 4x2 + 4x + 10

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Q: What is the integral of csc^3xcot^3x?

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Q: Evaluate the integrals

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Q: Evaluate the integral.

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Q: Evaluate the integral by substitution method: S 8x(2x² + 13)5 dæ

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Q: Evaluate the integral. (Use C for the constant of integration.)  5x8/(4x9+2)4

A: To evaluate the indefinite Integral.

Q: Compute the integral by algebraic substitution: ∫∛1-3xdx

A: Evaluate: ∫1-3x3 dx

Q: Evaluate the integrals.∫(9x8 - 7x6) dx

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Q: Evaluate the integral: 3xe-/4 dr

A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

Q: Evaluate the integral:∫xe−2xdx

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Q: Evaluate the integral. 2t + di

A: We have to find the integral

Q: Evaluate the integral by substitution method: S 7x(4x² + 13)% dæ

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Q: 2x 35. x2 + 6x + 13 -бх + 13

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Q: Find or evaluate the integral by completing the square.

A: Find or evaluate the integral by completing the square.

Q: a – 5x3 + 6x2 - 18 (ii) dr a3 – 3x²

A: Using integration

Q: Use a Table of Integrals to evaluate the integral. 4xdx x4 + 16

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Q: Evaluate the integral by long division Jarォ 2x²+7x-3 xp- X-2

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Q: Evaluate the integral: x+2 ox

A: Given: ∫x2x+2dx

Q: Find the integral ∫tan5xdx.

A: Here given Now,

Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: The given is ∫2x+3x2+3x+104dx by making the substitution u=x2+3x+10.  Solve the integral. Here we…

Q: Find or evaluate the integral by completing the square.

A: Given: ∫-23dxx2+4x+8

Q: Determine the integral by quadratic functions: 10x dx 4x2 – 8x + 9

A: Given: ∫10x4x2-8x+9dx

Q: evaluate the integral.

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Q: Find the integral factor, which is only in terms of x or y

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Q: evaluate the integral.

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Q: Determine the integral by quadratic functions: ∫10x/4x^2-8x+9 dx

A: Given :                   ∫10x4x2-8x+9dx

Q: Evaluate the integral. r5 x3 – 3x² – 9 dx J4 x3 – 3x²

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Q: Evaluate the integral ex /2e-2x – 3e2x xp-

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Q: dx 4x2 + 9

A: Use substitution.

Q: Evaluate the integral (-9x^2)/(sqrt(4x-x^2))

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Q: Evaluate the integral x"+ 4

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Q: dx 32. Jox²+4x + 8

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Q: Evaluate the integral. .2 - 3 x

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Q: Evaluate the integral by long Division method, use four digits after comma: - 5x? + 8x – 4 dr x2 -…

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Q: Evaluate the integral: 13 – 64x dx - + C

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Q: Use substitution to find the indefinite integral. 24x Xp- 2 + 4x

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Q: C. 6x³ +11x² - 4x -3/5 18x² +22x-4dx

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Q: 3 x³dx 0 V9+x2

A: Solve the given integration.

Q: 2. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A: While solving this indefinite integral, we need substitutions twice.

Q: Evaluate the integral using substitution as an aid: x (2x* + 1)2dx

A: Consider the integral