V8x – x² dx. (Hint: Complete the square.)

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric…

A: integration with subsitution

Q: Evaluate the integral using the trigonometric substitution x = 4 se dx 5. x² Vx2 – 16

A:

Q: evaluate the integral by completing the square and using trigonometric substitution.

A: We first complete the square

Q: Evaluate the integrals in Exercises  by making a substitution(possibly trigonometric) and then…

A: since you have posted multiple questions so I'll solve first one for you , for rest question's…

Q: hipln] = = = juM/2ejun dew sin[wc(n – M/2)] A(n – M/2)

A: Definite integration

Q: Evaluate the integral by completing the square and using trigonometric substitution.

A: ∫1x2+6x+62dx=∫1x+32-32dxSubstitute u = x+3=∫1u2-32du=∫1123u+3+112u+32-1123u-3+112u-32duApply the Sum…

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A:

Q: Using a Table of Integrals with the appropriate substitution, find re3x + 7e2¤ + 4e* dx Ve2x 64

A:

Q: S sec2 70 d0

A:

Q: Evaluate the integral SSRe-(²*+y°)dA, where R is given by x? + y² 0. е

A: We will answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Evaluate the following integral: (Hint: Force numerator to be what you wish it was, then split,…

A:

Q: Graph the integrand and use areas to evaluate the integral. 7 22) [ ( x|+ 6) dx -7 A) 217 B) 182 C)…

A: We have to graph the integrand and use the areas to evaluate the integral.

Q: The integral dz is equal to 2e + C. Select one O True OFalse

A:

Q: f314+ 2xck

A:

Q: Use an appropriate contour integral to evaluate the following real integral rinfinity (26 – 8)dx Jo…

A: Given, integral is as, ∫0∞x6-8x4+5x+42dx  I=12∫-∞∞x6-8x2+12x2+42dxconsider…

Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

Q: When applying the u-substitution technique to this integral, we will 99 S 2¤(x² – 1)™ dæ Which of…

A: We have to find subsistion

Q: Use the idea from the integral test to find constants A, B such that Asi+ 1 SB 2021 1/3

A: Note that the function f(x)=1x is monotonically decreasing function for x∈[ 1, ∞). Let n∈ℕ, then,…

Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x…

A:

Q: J zV -1 2.

A:

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: Find the integral by trigonometric substitution: * [V1- Tu /1– 7w² dw

A: Let I=∫1-7w2dw Putting w=17sinx dw=17cosxdx So,  I=17∫1-sin2xcosxdxI=17∫cos2xdx…

Q: S tan?xsec³x dx

A: To evaluate the following integral.∫tan2 x sec3 x dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. VI0y +I dy +C

A: Given query is to eveluate the integral.

Q: 4x tan(x² }tx

A:

Q: Evaluate the integral. Enter the fully simplified answer with no fractions under the square root and…

A: Given: I=∫dxx236x2-25 for evaluating given integral, first we take out x2 from square root so,…

Q: Evaluate the integral r ((tz) e sinz dz. where C:12| =l, by amy two Methads and results. 23 compare

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (8x4 + 7)°…

A:

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Given

Q: Give the appropriate trig sub that would be used to evaluate dx. Do NOT Vx² – 16 solve the integral.

A: Given:     ∫x3x2-16dx

Q: 8. State why the following integrals are improper, then evaluate each integral and state whether it…

A:

Q: Write the integral in terms of u and du. Then evaluate. xV9x + 4 dx, u = 9x +4 (Use symbolic…

A:

Q: Evaluate the following integral using trigonometric substitution. dx xV4+x 13 증 2. 2.

A:

Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

A:

Q: Determine the integral solutions  fro which x and y are positive 2x + 5y = 17

A:

Q: Use the substitution formula to evaluate the integral. , π/2 20) cot x csco x dx T/6

A: on solving this we get

Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)da, u = 4x + C

A: To find following integration  I = ∫ sec(4x).tan(4x).dx

Q: Solve The following integraltions using Trigonmetric integrals Stan'x sec3x dX X sec'X

A:

Q: By using Simpson's Rule, calculate the integral 2r +a?dr.

A:

Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)dx, u = 4x + C

A:

Q: Evaluate the given integral using Trigonometric Substitution 81e dæ 3(9e2r –6e² +10)

A:

Q: L'²₁ (r + 1)² dr

A:

Q: Evaluate the integral ∫dx/(sqrt(x^2+4x+13)) By completing the square and using trigonometric…

A:

Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: Use the Rectangle Property to evaluate the following integral. -5 (-13) dx 10

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: Given that, the integral  I = ∫x dx1+x4  Let t = x2  dt = 2x dx dt2 = x dx I = ∫x dx1+x4 I = ∫11+t 2…

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A: Given: The integral is ∫(r2-1)3/2rdr   Reduction formula: ∫tann(x)dx=tann-1(x)n-1-∫tann-2(x)dx