Question 8 If the substitution u=1+√x is made, then A B Ⓒ fr S=² 3/2 du 3/2 du √udu 2 f√udu [(1 + √x) 3/2 dx=

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A: to find out the integration.

Q: Evaluate 3+√3 3 13 dx 10+ x² - 6x 3+√√3 13 dx S 10+ x² - 6x 3 (Simplify your answer. Type an exact…

A:

Q: √3 Find x when sinx = -1 2 between [0,360]

A: Given, sin(x)=-32                 x∈[0°,360°]

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A:

Q: ( 3x3 + 5x2 + 7x +4 dx. Evaluate x3 (x +1)

A: For the given indefinite integral, the first step in evaluation of this integral is:

Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

Q: 19– x² 1. dx

A: Our Aim is to solve the integral given below:-∫9-x2xdx

Q: (* ) +1, dx 2ヌ-

A: The given integral is an indefinite integral.

Q: Show calculation steps

A: Compute the definite integral:∫14​tan−1(x​−1​)dxFor the integrand tan−1(x​−1​), integrate by…

Q: х In 3x dx

A: Given:

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A: ∫16-x2dx

Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

A:

Q: True or false: True False d dx 2 + ² = 1/2 2+ - X

A: d(xn)dx=nxn-1d dx(constant)=0f(x)=2+1x

Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: ½ sinh 1

A: the given expression is: 12sinh1 as we know that: sinhx=ex-e-x2 therefore the value of sinh(1) is:…

Q: 4. Evaluate (x² – 4x+ 7) dæ by hand.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: 1 10 +5 dx

A:

Q: Evaluate d/dx { In√(x+1)}

A:

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: [5x(4-2x²) dx

A: To evaluate the given integral

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A:

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A:

Q: 8 00 -00 dx 4x²+1

A:

Q: 1-√x)³ 3 √x dx

A:

Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: d. √ (1 + x)² dx √x

A: According to the given data, find the integral:

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: (5) Evaluate 75 2x -dx. 5x8

A:

Q: 5. The parts of this question are unrelated to each other. (a) Evaluate (3√8x + (2x + 1)²) dx. OK

A: B=∫(38x+(2x+1)2)dx  ∫xndx=xn+1n+1+c

Q: 3 |(3 -x).

A: Integration of 3-x w. r. t to x for limit 0 to 3