So dt = 1+14 A. B. C. 11/12 71 N|T (x²) arctan (x4) arctan ½ ln (1 + x ¹ )

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

A:

Q: sec x=1/5 on [0,2pie)

A:

Q: ln(r^6s^5 5√r^8s^9) is equal to A ln r+B ln s where a=? b=?

A: lnr6s5 r8s95Concepts:ln (m n )= ln(m)+ln(n)ln am=m ln aam*an=am+namn=amn

Q: Show that S log(sin x) dx = -log 2.

A: To show that ∫01logsinπxdx=-log2 using the given figure.

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: • 7/40 8000 sin (20x) Evaluate dx 7/60 1 – 2 cos (20x)

A: To evaluate: ∫π60π408000sin(20x)1-2cos(20x)dx...(1)

Q: Show that

A:

Q: Evaluate cos(x)ln(1+2)+24.5 1+€1.81z-55.6 answer = -dx.

A: Step 1:According to definite integral rule ∫aa​f(x)dx=0if upper limit and lower limits are equal…

Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

A:

Q: Prove that S tan ar tan¹ Br x2 da = 1 log 2 (a + 3)α+³7 Qa38 , a>0, B

A: Note: In the given identity, it should be instead of .We need to prove that , where .Let .

Q: 1. Find dx if it exists.

A:

Q: Determine how large the number a has to be so that 08. 1 dx

A: Solution is given below

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: 9. dx x log 10 x e" dr 1 + e" 10. dx 11. 1 + e*

A:

Q: (f) / 1 x(lnx)³ dx

A: Answer No. (f): To evaluate the following integral.Note: Since you have posted multiple questions…

Q: If | fx)dx =5 and gx)dx: evaluate (11f(x)+10g(x)}dx =

A:

Q: 1 5 dx 4-x2

A: Since you have asked more than one question at a time, we will be answering only the first question…

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: dy Find in each of the following: (be sure to use proper notation and simplify) dx (a) (b) y = sin¹…

A:

Q: coth 5.x dx = Select one: a. = = ln |sinh 5x| + C b. cosh¹2√x+1 "()+" c. sinh-1 ○ d. = d. =…

A: Step 1:Step 2: Step 3: Step 4:

Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

A:

Q: Calculate 1 10 1 x² dx.

A:

Q: (1 — х")dx

A: Use the formula below to perform the integration.  ∫xndx=xn+1n+1+C

Q: What is the missing value?

A: We have to find missing value. We know that, ddxcsc-1x=-1xx2-1 Chain rule of differentiation states…