3 dt V1 – 12

Q: Q2 – Evaluate the following integrals ii. ((23*e-*)dx

A: Given integral, ∫23xe-xdx

Q: Evaluate the integral: fe2 /1+ e2 dx

A:

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

A:

Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: In the given equation , select the basic integration formula you can use to find the indefinite…

A: ∫31-t2 dt

Q: Q3. Use Romberg integration to compute R33 for the following integral. 1.6 2x dx x² -1

A:

Q: dx I = S е. a² +x²

A: The objective of the question is find the indefinite integral.

Q: a=1 and n-1. Let f(t) = tet SHOW all of your steps of integration clearly.

A:

Q: b) ſe2x cos3x dx

A: To integrate∫e2xcos3xdx

Q: e*dx 1+e

A: Given integral,

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: 2. I adopted a rooster with a mass of 2.6 kg. If his mass changes at a rate of m' (t) kg per day,…

A:

Q: b) [ cos 20 do 5+4cos 0 BAŞARILAR

A:

Q: xsin(x³) dxdy

A:

Q: 4. S)(1-x²)dx 5. S(e2t)dt

A:

Q: Q16: Find the indefinite integral: (e' + tº) dt

A:

Q: 3. S e*V1– e*dx

A:

Q: Define a substitution variable u and write ;dr in terms of only u. (2x – 1)2 You do not need to…

A: Given: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: e3x dx e3x+5

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Find the general solution of the following DE by finding an integrating factor to maket eact Hint:…

A:

Q: Question-10 Evaluate the following integrals. a) S ( + 10) dx +e 3x

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Compute the following integrals. 1 t3 (a) dt. Jo V4+ t² (b) e6x cos (3e2) dx. (Hint: you might need…

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Q: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5

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Q: (d) (x² + 1)² dx (e) L dx (x² + 1)² (f) eir dx

A: d. Given

Q: 3. The integration of x e* with respect to x is: A. e2x. В. 2хе* С. 2

A: To integrate  xex2 with respect to x: ∫ xex2dx Apply u-substitution: u=x2 Differentiate both sides:…

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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Q: Q3/A) Evaluate the integrals S sin(ln x)dx

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Q: In'(r) da. integration by parts (a)

A:

Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: Find the following indefinite integrals. dx = (m) / (~- (bị + 3e" + dt =

A: (a) I1 =∫x3-1xdx (b) I2=∫eπ+3e2t+1etdt We know that  ∫xndx=xn+1n+1+c and ∫enxdx=enxn+c

Q: SVỹ v² + 4) dy

A:

Q: 3) Solve the following integral by using order of hº Romberg integration: dx Also, calculate the ɛ…

A: Given:-             Solve the following integral by using order of h 6 Romberg integration:…

Q: | -2" dxr. (x² + 1)e

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Q: dx S. 2x - 1 e

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Q: find the Following integration ion:- o SCxX-++x)(x²-1) dx +4X 2) tanuł

A: Please post questions with multiple subparts separately.1) ∫(x4+4x)(x3+1)dxWe will first simplify…

Q: 1. Sxcos dx ; integration by parts 2 (2х-1)dx 2. S ; by partial fractions х4—2х3+x2

A: Given that, There are two integration question and we have to solve these integral. 1. ∫xcosx2 dx 2.…

Q: e 2x Evaluate the integral of e* +1 xp-

A:

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: (a) Solve the following integrals. (i) (ii) x' + 3x? – 10 - dx x(x – 3)(x+1) Integrate er* cos (3x)…

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

Q: 3 9 a) Change the order of integration and evaluate: S [ dr dy 0 0

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

Q: 8x dx Evaluate the given integral: J 1x2-5

A: Recall: ∫1ax+bdx=1alnax+b +C; where 'C' is an integration constant.

Q: Use the Romberg integration to evaluate. 3 xe*dr With an exactitude e =0.5%

A: Given ∫03xexdx whose step error should be εs=0.5%. We use the Trapezoidal rule…

Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

A:

Q: Perform ONE integration by parts on (assuming s – 10) Jera by letting u = t°and letting dv = e-t dt.…

A: Integration by parts is given as -

Q: Which one of the four integrals below has a finite value ? Select one: 00 x? dx 00 1 dx 3 00 x dx 3…

A: We have to find the integral which have finite value.