r2 Evaluate xe* dx. хе

Q: 73 dx

A:

Q: Evaluate fA x sec²x dx.

A:

Q: x²-x+1 -dx. Evaluate:

A:

Q: Evaluate the improper (i) (2 – 2)-i dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: tan³(9/z) dz z2

A:

Q: 19. Use u substitution to evaluate. x5 So (4+x6)³) dx

A: Evaluation of the definite Integral by substitution method

Q: 6. Evaluate dx

A: Introduction :

Q: 5 dx. 2. Evaluate J-∞x²+25

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 -x Evaluate dx

A: Given : ddxe3x3-x2

Q: 9. 7 5+ -dx

A:

Q: -23 dx. . Evaluate:

A: According to Bartleby's guidelines we are allowed to solve only one perticular question at a time.…

Q: Sx²e2x*dx

A: We have to solve the integral using u-substitution: ∫x2e2x3dx Substituting, u=2x3 Differentiating…

Q: 5x dy. 10.) Evaluate

A:

Q: dx. 4-x² Evaluate IN

A:

Q: uch th

A:

Q: 56. f(x) = (In x)* %3D

A:

Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

A:

Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: Q2: EVALUATE * S x² e=2x² dx

A: The given integral is, I=∫0∞x2e-2x2 dx First solve the given integral without limits, then at the…

Q: (3*-e*) dx Evaluate:

A:

Q: b) Evaluate (x² + 1) In x dx .

A: We have to evaluate the given integration.

Q: dx D3. Evaluate (x²+9)(x²+4)

A: Integration

Q: -6 3 dx. - 25 - Evaluate x² -

A:

Q: Ans : Z 5) uck)

A:

Q: "2e"ge"dw

A: We have to find the integral: ∫ew2ew3ewdw We know the exponents rule, abm=ambm So rewriting the…

Q: 10 B. Evaluate: dx (x – 1)(x² + 9)

A:

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: ーズ 10. S- ex

A:

Q: dx Evaluate 34 N2 + 3x - 2x

A:

Q: (22 – 2) Evaluate dx (주) 12+2 (74+52²+4) tan-1 2

A: Given that ∫x2-2x4+5x2+4tan-1x2+2xdxSolution : let x2+2x=t1-2x2…

Q: 11. Evaluate. Leave answer in exact form. S, 2xv7 – 5x dx |

A:

Q: Evaluate x² √x² + 25 -2 S dx

A:

Q: 5 Evaluate [ (x + 2)(x² - 1) dx

A: Solution:Given   let      I=∫25(x+2)(x2-1)dxFormula:∫xndx=xn+1n+1+C

Q: 13. Use a u-substitution to evaluate /x²/(x³ – 2) dx

A:

Q: 1. Evaluate: z? - 1) In(-x)dx

A: Given, zx2-1ln-xdx ⇒z ln-xx2-1dx We know that the distributive law, ab-c=ab-ac

Q: dx Evaluate xx2 - 1

A:

Q: 11. Evaluate Vx +Vx dx.

A:

Q: 5 Evaluate : Plo(x)dx= -5

A: Evaluate the integral ∫-55P'10xdx The above integral is evaluated as, Find…

Q: dx 7. 7- Зх

A:

Q: 9. Find -dx + C

A:

Q: 5. Evaluate: dx

A:

Q: Evaluate the defin c12 4e 4*dx 3.

A: Given:     Integration of 4e4x from 3 to 12 limit.

Q: 7. Sxtan-x dx

A: Given: The integral is  ∫xtan-1x dx     Formula used: Integration by parts: ∫udv=uv-∫vdu

Q: Evaluate. Assume u>0 when In u appears. 7 dx 6+7x

A:

Q: 2) Evaluate: 6+ 1-x² i) dx

A:

Q: Evaluate xJ,(x)dx -3

A: Given: ∫12x-3J4xdx

Q: 2 dx . 1- x Evaluate

A: The given integral is ∫02x1-xdx                       (1)

Q: 17. Evaluate [9e³x dx O9e³c+1 3c+1 O9e3c O9ec-3 3e³c-3

A:

Q: Evaluate x In x dx.

A: According to Integration by parts∫udv = uv -∫vduand choose u in this order ILATEI → InverseL → LogA…