Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski steps. x²+x+1 (x + 1)² (x+2) 0 dx

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 Residue theorem to evaluate dx - x2- 8x+ 17 00

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Q: 2r2 + 2x + 11 dz J (2r + 3)(22 + 4)

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Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: 2x 35. x2 + 6x + 13 -бх + 13

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Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

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Q: Draw an area model to represent the product (x + 3)(2x + 1), and write the simplified product.

A: See the answer below

Q: Please help w this and find the solutions to this ques. Slve: 4^2x-4^x-20=0 Thk you! Use…

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Q: 2e-2x – 3e3x 14. - dx e-2x + e3x

A: deaxdx = a.eax ∫1u du = lnu +C

Q: Evaluate the integral. 2 xP 2x² + 3x + 1

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Q: 4. 5x + Vx) dx = |(Simplify your answer.)

A: From the given problem:   I=∫145x2+xdx   Applying  the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   Now,…

Q: -13

A: We will use substitution method to solve this integral

Q: 1 T √ 8 54 C X (2x + 1)(x²-x+4) 回 Submit

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Q: ヤ -3 x4 – 4x2 + 13 dx

A: SOLUTION-

Q: S(2 + vx)³ Vxdx

A: See the details solution in below