S tan dx 3x -3x+4 dx x2-2x

Q: 6x sec(x) tan(x)dx

A:

Q: Evaluate

A: Given,         ∫tan23xdx

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: /4 tan x dx /4

A:

Q: 6. |x²e-2*dx

A: Solved below

Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

Q: 1 -dx 1-x²

A: This particular question will be solved by Partial fraction: Solving by Partial fraction:   Partial…

Q: 3 tanx dx 3/ secx

A: Indefinite integral: An integral which does not have any upper limit or lower limit of integration…

Q: 10. Sx² tan x³ dx

A:

Q: (4cscxcotx + 2 sec² x)dx

A:

Q: sec°x tanxr dx

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 4 sec 2x tan 2x dx (1+ sec 2x)²

A:

Q: 6x + 7 -dx. (x +2)2

A:

Q: x + 3 -dx х — 1

A:

Q: fx- sin(2x ) dx

A: Given that  The integral is xsin(2x^2) To evaluate the integral

Q: 1.Jx' dx 2.1-dx X 3.18x²dx

A: Topic = Derivative

Q: 4- у ду dx 2 ху +x = 0

A:

Q: [s sec5 x tan4x dx

A:

Q: 3 tan(x)² dx 2

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: sech - x dx , 0 < x < 1

A:

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: x sin(2x2)dx

A: We have to find the integral.

Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: 4. tan'x seczx dx

A: To find: The integral of ∫tan7x·sec32xdx. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C…

Q: fx- sın (3-x) dx Sin.

A:

Q: S sec²(3 – 2x)dx

A: ∫sec23-2x dx Put, 3-2x=t⇒0-21=dtdx⇒-2 dx=dt⇒dx=-dt2

Q: x2 +1 (и — -dx 3)(x – 2)?

A:

Q: ∫sec^2(x)dx

A: The given integral is ∫sec2x dx

Q: Find (|x+1|dx -3

A:

Q: 1 -dx . (x + 8)(x² + 4)

A:

Q: 2 tan-x dx

A: ∫x2 tan-1x dx = x33tan-1x- x26+16ln1+x2 + C

Q: 2 x -dx 6. Jo 1-x

A:

Q: sec x tan x dx 9+4se ²x 2.

A: We have to evaluate the integral: ∫sec x tan x9+4 sec2 xdx Solving the given integral by…

Q: 5 -dx 1+ x2

A:

Q: sec x dx 5.

A:

Q: Solve sin 2x – dx x° +x* – x² +2 8

A: According to the given information, it is required to solve the given integral.

Q: S(sec x tan x + 9x*)dx

A: The integral ∫secxtanx+9x8dx can be calculated as, ∫secxtanx+9x8dx =∫secxtanxdx+∫9x8dx…

Q: S tan³ √√√x X X dx

A:

Q: S tan³x sec³x dx

A:

Q: 7. Sxtan-x dx

A: Given: The integral is  ∫xtan-1x dx     Formula used: Integration by parts: ∫udv=uv-∫vdu

Q: x · 2-*dx

A:

Q: 3. dx V3-x

A:

Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: -2 х 6. dx 1-x

A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent…

Q: 18. Find [ 2x°(2x* -1) dx

A:

Q: (ii) sec2 (x) dx

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.