Use a change of variables or the table to evaluate the following definite integral. 3 tan x sec x dx

Q: The definite integral f(r) dr can be interpreted as

A: Given: The definite integral  can be interpreted as

Q: Among the given choices, which of the following definite integrals have the smallest value? dr B x²…

A: To Find:Which of the following definite integrals have the smallest value.Formula:∫xndx=xn+1n+1+C

Q: -It/2 S cos (x) esin (x) dx 0.

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Q: •T/4 (sin x + sin x cos x) dx Jo

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: I. Evaluate the following integrals. Check by differentiation. S sin 50 cos 50d0

A: Given;            ∫sin 5θ cos 5θ dθ Apply u-substitution: u=cos 5θ⇒du=-5 sin 5θ dθ            =∫-u5…

Q: Among the given choices, which of the following definite integrals have the smallest value? (A x dr…

A: Given that: (a)∫12xdx(b)∫12x2dx(c)∫12x3dx(d)∫12xdx

Q: Among the given choices, which of the following definite integrals have the largest value? (A x dx…

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Q: Use an appropriate u-substitution to find the exact value (no calculator) of the following definite…

A: we need to substitute appropriate u to find the value of given integral. also we know: ∫ xn dx =…

Q: Evaluate the following integrals sin? x cost x dx

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Use a change of variables or the table to evaluate the following definite integral. dp 144 +p2

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Q: Calculate the definite integral by referring to the figure with the indicated areas. dx y = f(x)…

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Q: Evaluate the following integral using trigonometric substitution. dx (36 + x?)?

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Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: Among the given choices, which of the following definite integrals have the largest value? x dr 2 B…

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Q: Q: Find the integral for the following functions: - 4) S cosh2 (x). sinh?(x). dx

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Q: Evaluate the following integral and show your work: sin? x · cos? xdx ,2

A: Given :            ∫ sin2x cos2x dx

Q: Approximate the definite integral for the stated values of a, b, and n by using Simpson's Rule.…

A: Use Simpsons formula for finding the definite integration

Q: Evaluate the definite integral: - 6 e!/I dx

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Q: Find the general indefinite integral or evaluate the definite integral, as necessary. f) S, sin(578)…

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Q: Inx dx where x>0. 1

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. S||ti + 1²j|| dt = |

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Q: -2 2 [ 7e +- y -5

A: solution:-∫-5-27ey+2ydy=∫-5-27eydy+∫-5-22ydy=7∫-5-2eydy+2∫-5-21ydy

Q: a xp: х? Q.90 What is the value of the definite integral, J + Va-x

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Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: use the Change of Variables Formula to evaluate the definite integral.

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Q: Use the graph to evaluate the following integrals: Use pi to represent t h(x) dx =

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Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x? +2) (Use symbolic…

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Q: Evaluate the definite integral T 8 sin(x)da

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Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: Use the substitution x = 3 sin t to evaluate the integral f v9 – x² dx. - Note: Use C for an…

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Q: | sec* x tan x dx

A: Given integral is ∫π4π2sec4x tanx dx

Q: evaluate the following definite integrals : a) tan? X dx

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Q: Evaluate the following integrals.

A: Given: The integral ∫sinxcos2x+cosxdx To evaluate: The given integral.

Q: Among the given choices, which of the following definite integrals have the smallest value? A x dx B…

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Q: Among the given choices, which of the following definite integrals have the largest value? A x dx x²…

A: A) The definite integral is  ∫12 x dx

Q: Among the given choices, which of the following definite integrals have the largest value? A x dr x²…

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Q: B) S 12 sec 3x tan 3x dx

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Q: [sin x dx

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Q: Use the substitution x = 6 sec t to evaluate the integral f dx xvx²-36 Note: Use C for an arbitrary…

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Q: Among the given choices, which of the following definite integrals have the smallest value? A dr B…

A: Definite integrals are given we have to find the integral that has smallest value

Q: Evaluate the definite integral. "Tt/2 " d(sin x)? dx = (sin x)2 dx =

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Q: Evaluate the definite integral. e + 6 dz e? + 6z

A: We need to evaluate the following limit ∫01ez+6ez+6zdz                             .........1

Q: Find the integral for the following functions: - sin(x). esec(x) 1). 1) S cos (x)

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Q: Evaluate the following integrals /8+tan x dx 1-sin?x i.

A: Note few things.

Q: d) |r – 2| dx

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

Q: sin(Int) dt t 1

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Q: 4 dx 1+ x²

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Q: Evaluate the following indefnite integral. You must show work. (e –3x +x)dx

A: We can find the answer as below