S cos 8x dx

Q: S tan 1x dx

A:

Q: S sinx cosx dx

A:

Q: Cosx dx

A:

Q: dx 1+cosx 2.

A:

Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: х cos 2x dx

A: First apply u-substitution, u=2x. Thus integration becomes,

Q: Soa cos vax dx

A:

Q: vi. ſ cos(3 Inx)dx

A: Using definite integrals,

Q: S cos32x dx.

A:

Q: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

Q: S cos(2x)e2x dx

A: We need to evaluate: ∫cos(2x)e2xdx

Q: cos(T/x5) dx 16

A: Given that: ∫cos(π/x15)dxx16

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: b. x sin 2x dx

A:

Q: Evaluate

A:

Q: b) S cos²2x dx

A: Solution:- The given integral is  I=∫cos22x dx

Q: cos(15x) cos(4r) dx

A: Given∫cos(15x)cos(4x)dx  ...(1)For the simplification apply the trigonometric identitycos(a…

Q: 1+ cosx dx =0 2

A: Here we use the trigonometric identity to solve the given integral.

Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: 2TT Sin nx dx

A:

Q: Evaluate fe.cos 2x dx

A: ∫e3x cos2x dx

Q: S sinxcos(2x)dx

A: The given indefinite integral is∫sin x· cos 2x dx We have to find the value of the given integral.

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: х cos(5x) dx —

A:

Q: S cos³ 3x dx со

A:

Q: dx A. 1+cosx

A:

Q: Se³x cos (2x) dx 3x

A:

Q: Cos^3(3x) dx

A:

Q: S cos 2x dx COSX

A:

Q: S tan 2x dx

A: Consider the given integration. I=∫tan2x dx Use trigonometric identity. tan2x=sin2xcos2x So,…

Q: s sinzx cosx dx

A:

Q: S cos(7x) cos (18x)dx

A:

Q: cos (4x)dx

A:

Q: cos(3x) dx

A: answer is in next step

Q: 8. Sedr cos 2x dx

A: Integration of e3x cos2x

Q: cos 6x cos 2x dx

A:

Q: cos æ dx =| 0.53

A: We will solve it by substitution

Q: (iv) ſeax cos bx dx

A:

Q: S sin5xsinx dx

A: Integrations are generally used to find area under the curve when the limits of the integral are…

Q: S cos²(2x)dx

A:

Q: cos (In4x2) dx

A: Topic:- integration

Q: S cos³ 3x dx

A:

Q: | cos x dx ile ( Jcos x| dx

A:

Q: fx cos 2x dx

A: Let's solve given integration.

Q: Sn cos® x dx

A:

Q: 1) cos? 2x dx cos ? 2x dx

A:

Q: eMx cos nx dx

A:

Q: Se-3x cos(5x) dx

A:

Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral

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.