What is the integral of f cos (2t)dt?

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: rp= dx bo 1. to

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Q: Evaluate the integral. бл t2 sin(2t) dt

A: We will apply ILATE rule hence t2 will be first function and sin2t will be second

Q: Evaluate the indefinite integral.

A:

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

A: Given:∫65sintdt

Q: ) 「ざs")dx

A:

Q: Use the substitution formula to evaluate the integral. 4 8 - Vx 15) S" dx 1

A: Let's find the value of indefinite integral first: I=∫8-xxdx Substitute 8-x=u⇒-12xdx=du⇒1xdx=-2du…

Q: Evaluate the integral. t2 sin(2t) dt

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Q: Evaluate the following integrals: a. | Vē sin(2t3/2) dt

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Q: Evaluate the indefinite integral: ∫ cos t cos(sin t) dt

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Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

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Q: Evaluate the integral sin(t)dt

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Q: Evaluate the integral 9t tan?(t) dt

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Q: Compute this integral ∫( sqrt((e^x) +1) dx

A: To Compute this integral ∫( sqrt((e^x) +1) dx

Q: Find a formula for the function represented by the integral 3t dt

A: Please refer to the image below.

Q: Evaluate the integral. ∫0 π/4 tan4 t dt

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Q: Find the integral of dx Vx+1

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

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Q: Find the answer to this integral:

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Q: Find the value of dx (7x – 2)° If the integral diverges, give "oo" as your answer. -

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Q: Estimate the error if cos t² is approximated by 1 integral , cos r² dt. 4! in the 2

A: We have,

Q: Evaluate the integral: 2 So sin(4t - u) du dt

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Q: Show that the integral -21/RC e dt has the value

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Q: Find the integral. (te -7e dt

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Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: Evaluate the definite integral. 7 cos(xt/2) dt

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Q: Evaluate the integral.

A: The integral ∫0π6tsin2tdt. We have to evaluate the value of this integral.

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

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Q: 28 t2 sin 2t dt

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Q: Evaluate the integrals ∫√(1 + cos (t/2)) dt

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Find the integral of dx V1 – x²

A: Solve by integration

Q: Evaluate the integral of xe^(x^(2)) dx

A: To determine the value of the integral.

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: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: Evaluate the integral. cos t dt

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Q: In 2X dx Find the integral of J!

A: Find the integral using substitution method

Q: whats the integral of e2t+e^(t)dt?

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Q: Evaluate the integral 3 sin(t)dt

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Q: ex dx V1 - e2x

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Q: Evaluate the integrals

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

Q: Evaluate the integral / 'cos(æ – In x) dx dy.

A: We need to change the order of double integral

Q: Evaluate the integral. TO 9t sin(7t) dt

A: Given query is to find the value of the integral.

Q: Consider the integral 3 x2 dx 81- r /2

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Q: 3. t dx

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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

Q: Evaluate the integral or state that it is "divergent 1 dx х?(х — 1)

A: To evaluate: ∫1∞1x2(x+1)dx Use partial fraction decomposition to simplify: 1x2(x+1) Let,…

Q: Evaluate the definite integral. integral (lower 0, upper 3) t^3 sin(t^4) dt  =

A: We have to solve the definite integral