Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6 sec + C - e. Væ2 36 – 6 sec- (:) + C - *() d. Vx2 – 36 – 36 sec + C - 6 (3) b. Vx2 – 36 + 6 sec-1 + C -1 Vx2 – 36 – 6 sec а. - -

Q: Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

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Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: x dx = b2 - . T/2 cos(x) dx = 1, together with the properties of definite integrals, to evaluate…

A: To calculate the integral using the given formulae

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: (a) Evaluate the indefinite integral (anti-derivative) d.x Vr2 +1 by using the substitution u = x?…

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Q: Find the indefinite integral using any method ∫ (3x3 + 4x) /(x2 + 1)2 dx

A: We have to evaluate

Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

Q: Find the indefinite integral and check the result by differentiation. dx 9x2 Part 1 of 7 Observe…

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Q: Calculate the indefinite integral x²sin(x)dx Show your calculations.

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Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 25z2 - 49

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dz zV 16z2 - 49

A: We will use substitution to solve this

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: I need help solving this integral   integral of e^(-x^2) from negative infinity to positive…

A: The given integral is;

Q: Queston} $²3 20c x²-4 Composite Trapezoidal rule with n=4 dx. 3.1.1. use the to approximate…

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Q: (23) Explain the Substitution Rule for Definite Integrals. (24) Find √3x + 5dx (25) Find 1 (3x + 5)5…

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Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Evaluate the definite integral. "1/3 3 dx V1- 9x²

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

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Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

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Q: Find indefinite integral.

A: ∫5lnz+3z dz Put, 5lnz+3=t⇒5·1z+0=dtdz⇒1zdz=dt5

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A: Given Problem:- Find the indefinite integral by the substitution method or state that it cannot be…

Q: Find the general indefinite integral. (Use C for the constant of integration.) ∫3v(v2+4)2dx

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Q: V1- cosxdx COSX

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Q: Which of the following integration expression can be transformed into integral of power (Ju"du). (c…

A: A

Q: dx 1/3 2/3

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Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: Use substitution to find the indefinite integral. 5х +6 -dp- (5x2 + 12x) 3 S- 5x + 6 dx = 3 (5x2 +…

A: Given:Here f(x)=5x+65x2+12x3 To find:we have to find the integral by using substitution

Q: Evaluate the indefinite integral. | 2* (2° + 1)/2 dx Integral =

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: See the detailed solution below.

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 zp zV 49z2 - 25 2 49x – 25…

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Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: 1+x h) 4+ 2x + x² dx

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Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A: Explanation is given below...

Q: Use an appropriate u-substitution to evaluate the indefinite integral 3sin (71)cos(7)dt. Use C'for…

A: Use substitutions to integration

Q: Match the integral expression on the left to an equal expression on the right. Ssin(3x)sin(4x)dx -…

A: Let's find.

Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x…

A: Integration by part ∫u dv=uv-∫du v where u and v are the function x

Q: 2 dax (x³-5)3 5)3

A: Please refer the attached image for complete solution.

Q: 3. + SullivanCalc2 5.4 Evaluate the definite integral using th 16 (1 - V) 2x Additional Materials…

A: Given integration is ∫4161-x22xdx.

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Compute the indefinite integral 2. - 4e²² + 6z – 5) 5) dx.

A: We know that integration of ex is ex . And integration of 1/x is lnx. Integration of xn is xn+1/…

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2x+ 0 dx T2 +0x-9 In x² –…

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Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

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Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.