– 30 - Evaluate the integral: -d.x x2 Vx2 + 16

Q: Evaluate the integral (2æ + 6)(x² + 6x + 9)*dx by making the substitution u = x? + 6x + 9. + C

A:

Q: 3 4 dx x2 + 9

A:

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

A:

Q: Find the indefinite integral ∫(t2i + 5tj + 8t3k) dt

A: Given ,∫t2i+5t j+8t3Kdt

Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: +00 dx -Evaluate the improper integral x (In x)²

A:

Q: Let a, b> 0, then the integral x2a +1(1-x²)bdx, after changing variables y = 1– x will be expressed…

A: Given the integral I = ∫01x2a+11-x2 b dx To changing variables y = 1-x2 will be express

Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

A:

Q: 2x Evaluate the improper integral dæ, if it exists. (x2 + 64)2

A:

Q: Evaluate the integral 7ª S* (y cos x + 4) dydæ.

A: The detailed solution is given below Thank you

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integral f 2x (x? + 1)“ dx using the substitution u = x2 + 1.

A:

Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

A:

Q: Find the indefinite integral. t2 dt 3= t3 +C

A:

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

Q: t0 SinnlVx) 기 x

A:

Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

A:

Q: Evaluate the following indefinite integral. (a) J2sin x e*dx (b) fxVx-4dx

A: Evaluate (a) ∫2sinxexdx (b) ∫xx-4dx

Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

A: We have to solve given integral by substitution.

Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: Q2/ Find the value of the following integral ITT:- 1 x*+4x x-3y x2 dzdydx 2

A:

Q: Evaluate the integral f 2x (x² + 2)° dx using the substitution u = x? + 2. | 20(a* + 2)" de +C

A: The given integral is: I=∫2xx2+26 dx

Q: Evaluate the integral f 2x (x² +1)** dx using the substitution 14 u = x² + 1. | 20 (a² + 1)“ dx +C

A: The given integral is: I=∫2x(x2+1)14dx Substitute u=x2+1 After differentiating,…

Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

Q: Evaluate the integral, if it exists.  ∫01Sin (3 π t) dt

A: Given the integral ∫01Sin (3 π t) dt We need to evaluate the above integral.

Q: -dr evaluate the integrals by substitution method J 2dx V2+r /2+x

A:

Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

A:

Q: Choose the most appropriate answer: Evaluate the integral : J 3x2 dx x3+20 O In(x³ + 20) + C T 40) -…

A:

Q: (a) Evaluate the following indefinite integrals: (i) 10 (ii) fx³ Vx-1 dx 2 -Vy - 3 Vy 4

A: Evaluate:

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

A:

Q: Q4- Evaluate the integral, e-ax J,(bx)dx, a > 0, b>0 ах

A: The Bessel function J0bx is defined as J0bx=∑n=0∞-1nbx2n22nn!2           (i) Therefore,…

Q: Evaluate the definite integrals 36 a) Vi dt = ... ... 16 b) dz 3D ... ... 64 c) 返 dx = %3D

A:

Q: Q2 Evaluate the integral by first reversir 5 c2 ntegration Sán Vxª + 1dxdy Vy A: 6.9945

A: Here we have,

Q: 1 dz c+x2 c)

A:

Q: Q1) Evaluate the integrals + x* +x² + 1 dr x? +x - 2

A:

Q: Evaluate the indefinite integral. fo(z - 7°dz + C

A:

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

A:

Q: Evaluate the improper integral dz, if it exist (x² + 49)2

A: Here we have to evaluate the given improper integral.

Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

A:

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below