1. Solve the following Integrals by Substitution e dr. VI - e-2r In2

Q: x -1 (x? dr +1)x-2) 3.

A: By partial fraction method

Q: Solve the following integral S,x²e*y dxdy

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Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include…

Q: Solve the following integrals: a) SVI+ - v2 dx b) Sxcos 2x? dx

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Q: 42x 4. Jx*e2" dx

A: To Evaluate:

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: 4. Use properties of integrals to verify the following inequality: 4. /4 sin xdx s 24 24 VI

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Q: Evaluate the following integrals: (a) /sin°(2) dr tan (3r) dr (e) in

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Q: Stan(x)dx

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Q: Solve the following Integrals by Substitution (뿔) V1 – e-2x cln dx. In2 |

A: We have a integral  ∫ln2ln(23)e-x1 - e-2xdx  Let  I =   ∫ln2ln(23)e-x1 - e-2xdx  Put  e-x =  t     ⇒…

Q: 7.1: Evaluate the following integral and show your work: S (2? + 1) e-" dæ, 0 < x < 1 е

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Q: Solve the following integrals. 3.) So Sy dxdy y²-x²

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Q: Solve the following integrals? (1/(1+x³)) 3 - dz 2z - i C |

A: First part is not complete, pls repost it.  In second part ,singularity at z=iota/2 and analytic…

Q: Evaluate the following integrals. Show all the necessary or complete solutions. 3/2 4. S x²ca²- x²)…

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Q: Evaluate the following integrals.

A: Given: ∫cos210xdx we know that 1+cos2θ=2cos2θ similarly, 2cos210x=1+cos20xcos210x=1+cos20x2 now…

Q: Evaluate the integrals in ∫8 e(x+1) dx

A: ∫8ex+1 dx Put  x+1=t⇒1+0=dtdx⇒dx=dt

Q: S 42x dx

A: Given,           ∫42x3dx

Q: Calculate the following integral: e 3x3 + 1 dw 1

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Q: Evaluate the integrals.

A: According to the question, we have to evaluate the integral ∫0π1-cos23θ. The above integral is…

Q: 2- Solve the following integral with details 1 erlao cos? e r² dr sin@de ø do = x X = ? o 32ña

A: Given integral is  ∫02π∫0π∫0∞132πa05r3e-ra0cos2θ r2 dr sinθ dθ ϕ dϕ=x

Q: 2 e* cos x 1 + x2

A: An  integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: sen( ds

A: We will find out the required value.

Q: Find the following indefinite integrals: (a) | 32* In(2r) dr (b) VI+3

A: To find the indefinite integrals: a) ∫3x2 ln(2x) dx b) ∫xx + 33 dx

Q: Solve the following Integrals by Substitution 1 (a) dx 1— 4г2 et -d.x 1+ e2x (b

A: (a) To evaluate the integral: ∫11-4x2dx Solution: Let substitute t=2x. Differentiating both sides,…

Q: Solve the following integral, using any method shown in class. z-1 dz 2z2 + 10z

A: We have to find the integral ∫z=1z-1z3-2z2+10zdz.

Q: 1 1 +1 dy 4y y

A: let given integral ∫14y-1y4+1dy=I.

Q: 3. Find each of the following integrals using any suitable techniques: (d) sec® 4x tan² 4r dx

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Q: 2r dr (1 – r)7

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Q: 3. Solve the following integrals: a) f(5x+2)³¹dx

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Q: find formulas for the functions represented by the integrals.

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Q: : A) Solve the following integral: S x5J4(x) dx.

A: It is known that ∫xvJv-1x dx=xvJvx.

Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: cos 30 de

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Q: 1. Evaluate the following integrals. 27+5V7 dr

A: Given integral ∫122π+5x23-1xdx The objective is to evaluate the integral.

Q: 3/1+

A: Let I=∫1+x+33dxPut x+3=udifferentiate dx=duI=∫1+u3duPut u=vdifferentiate…

Q: Find the definite integral of S: (2x – 1)' dæ 2 112

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Q: 4 S- 3x/10ln(3x)-(In(3x))* 2

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Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: cIn 2 et dx (e2x + 8e*+ 7)Z

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Q: Sen ?x dx = 2.

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Q: (b) Solve the following indefinite integrals.

A: i. Given integral ∫sinxcos2xdx

Q: 5 ra x²dx 0 Va-x

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Q: Find the following integralS - @SC8/x-5/2+ 6/2 ge dr. in

A: According to our guidelines we can answer only 3 supports or first question and rest can be…

Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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Q: S(12r* + cos(x) atr

A: Indefinite integral

Q: 1. Find the following indefinite integrals: & fcsc'udu

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