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Q: 1

A:

Q: 4. Which is negative, 8 dx or 8 dx?

A: We find the integrals first

Q: 5+(54 33)

A:

Q: 6. 5 19-4x2 dx

A:

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: -9 dx (3x + 1)² 1

A: Solution: ∫1∞-9(3x+1)2dxTake the constant out=-9×∫1∞1(3x+1)2dx

Q: 4 5 2 X -x.dx

A:

Q: Explain how to evaluate x/2 dx.

A: Integration is the process of finding the antiderivative of the function. It calculates the volume,…

Q: Integrate .5 X 12 1+x

A: Integration by substitutions

Q: dx /2 4x'

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: 2. 4 (Inx) dx

A:

Q: 4 dx 8)

A: Consider the given definite integral.

Q: S sixicosx dx 05

A: Evaluate the integral as follows. Let u = cos x. Then,

Q: 9. 7 5+ -dx

A:

Q: Fnd -13 2/3 dx

A:

Q: 1/a 47. V = 1 dx %3D 6

A:

Q: S5x sec?x dx 5.

A:

Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: 3 S(2²=-1) ³ x dx

A: Given query is to find the integral.

Q: 2. Sexdx

A:

Q: 1. L,(3x? – 2x³)dx 2. (x? – 1)va dx

A: We will solve the problem.

Q: 8 3 Evaluate S -dx. 10 9x 4

A:

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: x² + da

A: Evaluate ∫x-1x2x2+255dx=?

Q: In(12 x- 11) dx

A:

Q: 1- S dx -4 4

A:

Q: 2-8x Evaluate dx. 49-4x

A:

Q: 9. dx

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: 8. ²2(2x + 1) dx

A:

Q: Find / 5x dx

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

Q: 20. 2x dx

A:

Q: 1. 2 sec" (8x -) d n) dx

A: to evaluate the integration of 2sec^2(8x-π/4)

Q: 14. Find. V dx 1-2x

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.