dx I = S 3 V(b+ax)2

Q: Find the following definite or indefinite integrals: 2+In x dx a) S-

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Q: (b) / e*+e* dx.

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Q: Find the exact value of the definite integral below, using the substitution u = x - 1²/1. X (√6+√2)…

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Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: Q:: Find the integral for the following functions: - r6 dx 1). 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

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Q: Q3: Find the integral for the following functions: - 6 dx 1) 2 x+2

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Q: Evaluate the following integrals. (a) So (b) S1 |1 – x²| d (c) So da e2 dx 1+x²

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Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: Find the following indefinite integral. +2e -0.1x dx

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Q: 4 3 b. J 20(2x + 1)°dx 1

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Q: T 15 dx The integral is equal to

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Q: Find the following indefinite integrals. dx Vx + 2 +C !!

A: To evaluate the integral: I=∫xx+2dx...(1)

Q: Find the following indefinite integrals: 214 (a) 10z +16z da (b) f(V – 3") dr -

A: Integration: a) ∫x3+4x4+16xdxb) ∫(x73-3x)dx ∫(xn)dx=xn+1n+1+c∫axdx=axlogea+c

Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

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Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

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Q: Evaluate this indefinite integral: S9 dx 9+C De C) C D) 0+C A) 9x + C B) O A

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Q: e* dx ex 11

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

Q: S x² √x²+4 dx

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Q: T6 Based on the image attached, differentiate each of the following integrals with respect to x.

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Q: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: Find the following indefinite integral. S(7 + e) dx

A: ∫(7x+e)dx Formula ∫axdx=axln a+C∫adx=ax +C

Q: Find the indefinite integral. | Vi (e* +t - 1) dt

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Q: Find the following integral, given that f (x) dx = 10 and | 6)*dx = 14. 9. b.

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Q: Evaluate the integral or show that it diverges e dx 1+e-x

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Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

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Q: dx I = S %3D a²+x2 e.

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Q: Find the following indefinite integral - 3r – 5x + 18 dx x² – 6

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Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: So S(xy²) dxdy 4. 3

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Q: |e(1+e*}*dx

A: Integral.

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: Evaluate the following indefinite integral: dx r2 +1

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Q: | -2" dxr. (x² + 1)e

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Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

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Q: Væ +1 dx

A: Substitute u=x+1,du=dx2x+1. Here if u=x+1⇒x=u2-1.

Q: Evaluate the definite integrals a) Vi dt = 16 1 dz = b) 64 / dx = 8.

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Q: Find the indefinite integral ∫ t /(t4 + 25) dt

A: To evaluate the given integral

Q: Evaluate the following integral as it is written. 5 5 4y dy dx 0 x

A: To evaluate the integral: ∫05∫x54y dy dx Solution: Evaluating the given integral. ∫05∫x54y dy…

Q: X- 1 dx d.

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Q: Find the following indefinite integrals: 243 dr (a) 192 (b) S(V= - 2") dz

A: here we have to solve , a) ∫x2+3x3+9xdx b) ∫x53-2xdx