A In(ī + 3) – In(-Vī + 2) – 3/ī Evaluate the definite integral. 8 Int+ 1) - In(- + 1) – 2/2 dx none of the choices c In(를+3)-In(-용 +2) - 4/T D In(4 + 3) – In(-/3+ 4) – J3

Q: How do you evaluate the integral of ( x2 ) / ( 2(x2 - 4) ) ?

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A: To integrate (x⁸ ⁵√(2x³-1) dx)

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A: Solve the integral by substitution method

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A:

Q: Exercise 20. Compute the definite integral 1 3r - 5 (00

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A: Given integral is improper fraction form so we need to apply long division method to convert it into…

Q: QUESTION 7 (4 points) Evaluate the integral using the given substitution. fx4x5-75 dx, u-x5.7…

A: ∫x4(x5−7)5dx=301​(x5−7)6+COption third is correct.

Q: -4 Evaluate the indefinite integral, using algebra to rewrite the integrand first. dx 2 – 8x +C 3. -…

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Q: Evaluate the integral f 2x (x2 + 5)" dx using the substitution 16 u = x + 5. 16 2x (x² + 5)" dx = +C

A: Solve integration

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A:

Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

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Q: Step by step

A: Given integral

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Q: help evaluate the integrals please

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

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Q: 5 7x-5+3x VX S³₂0 -2 -) dx

A: ∫-25 7x-5+3x-2x4dx

Q: (æ² + 1)² x²ez² 2(x2 + 1) + C x²ez? 2(z² + 1) -ze +C O A Ов 1 2(x2 + 1) cea 2 2(2² + 1) - 2" +C…

A: The given integral is: I=∫x3ex2(x2+1)2dx=∫x2ex2(x2+1)2x dx Substitute x2=u⇒2xdx=du⇒xdx=du2 So,…

Q: 1 (5z*4r* + 3=*) (Væ² +æ +1) x² + x + 1

A: Given:∫01(5x54x4+3x3)(x2+x+13)dxThis can be written as ∫01(20x7+3x3)(x2+x+13)dx

Q: 2x + 2 x +1 in of Xト! ナイ

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Q: Evaluate the integral. -2

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Q: (4x +3)dx Solve the integral: eln(2x²+ 3x- 4)³ eln(2x? + 3x- 4) A (2x2 + 3x – 4) + C (2x² + 3x+4)* +…

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Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the integral 1₂ 6x² - 11x - 5 x³ - 4x² + x + 6 dx;

A:

Q: Evaluate the integral. | (5x² + 8) e-"dx -33e + 18 -33e-1 + 18 -33e-1 – 18 33e-1+ 18

A: Given, ∫015x2+8e-xdx  We have to evaluate the integral.

Q: z fő 2 (1-x cos (2n+1) AX 2

A: We have to find the solution for given integration.