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

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: 1. S(In x)² dx

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Q: |S(1 – cos 4u) du

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Q: Evaluate these two definite integrals

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Q: Evaluate the integral •5 sin(t)dt 6.

A: Given:∫65sintdt

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: 2. Use a substitution to change the integral into one found in the table of integrals, then…

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Q: Evaluate the following integrals dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: Determine the following integrals: ³ In r dx and

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Q: S e2x sin 2xdx

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Q: Evaluate the following indefinite integral: x dx 1.) S- Vx4 - 1

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Q: Evaluate the following integral. ex cos(x) dx

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Q: Evaluate the definite integral (from 5 to 7)∫(d/dt (2+2t^4)^(1/2) dt using the Fundamental Theorem…

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Q: Find the integral t5 cos |dt using the substitution u = t6. Enclose arguments of functions in…

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Q: evaluate the integral fromn 0 to pi/2 (cosx)^3

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Q: Find the indefinite integral cos t dt. 4 cos t dt=

A: We have to find solve

Q: Evaluate the integral from 0 to pi: ∫cos4(2t)dt

A: ∫0πcos42t dt

Q: Evaluate the integral of sin^6 x dx from 0 to T/2.

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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: 28 t2 sin 2t dt

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Q: dy -1

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Q: Evaluate the definite integral. 5 cos(πt/2) dt

A: We have to find

Q: Find the indefinite integral dt t4 + 4

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Q: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Find the indefinite integral

A: Given: ∫tt4+25dt

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: Evaluate the following indefinite integral. 3 dx +C

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Q: Sy² sin(3y³ + 4) dy

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Q: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: Find the indefinite integral ∫ t/√(1 − t4) dt

A: Given integral, ∫t1-t4 dt

Q: So S(xy²) dxdy 4. 3

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

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Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

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Q: In evaluating /x V4- x dx by substitution, if 4 = 4 – x then what will be the resulting indefinite…

A: ∫x4-x3dxu=4-x→dudx=-1→du=-dx

Q: dx 2.) S 4+ x2

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Q: Compute the definite integral below using the results in S '5 I x² dx

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Q: Evaluate the integrals

A: Our Aim is to evaluate the integral given below:-∫-π3π3 sin2(t) dt.

Q: Find the general indefinite integral using definition. (3t*-t3+6t2 b) S(3 sin x – 4e* + 5* + 6) dx -

A: Integration Question

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

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Q: 8. dx Evaluate the improper integral if it exists O.

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Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: Calculate the following integral 1 Yez? - dædy 1

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Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: Evaluate the following integrals: а- T/2 2cosx dx 1+ (sinx)² -T/2

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Q: e) S 7 + 2sec(2x)tan(2x))dx 1+x

A: To find: ∫71+x2+2sec2xtan2xdx

Q: Evaluate the definite integral. 4 cos(xt/2) dt

A: We need to evaluate the following integral. So,            ∫014cosπt2dt=4·∫01cosπt2dtLet…

Q: Evaluate the integral, if it exists.  ∫01v2 Cos (v3) dv

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Q: Evaluate the integral from 0 to pi/4: ∫tan4t dt

A: here we use trigonometric identity  tan2x=sec2x-1 and, integration from 0 to π4