[sinh(x)(x² + 7*)] dx a.

Q: sec (In x)dx

A:

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: evaluate the integral.

A:

Q: cosh²x-sinh² x = 1

A:

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

A:

Q: find Dxy if y=e^(-2/x^2) Dxy=?

A:

Q: -33e* – 105 -dx e2x + 8ex + 15

A: Here we use partial fraction method to solve the integral.   We know ∫1x+adx=ln(x+a)+C ln(ex)=x…

Q: 6. Solve the definite integral ro e(arcsin(x)) dx. V1 - x2

A: the value of the integral is 1-e-π2 see below the answer and calculation

Q: 2 Cosh2x- sinh2x A

A: Given, 2 cosh 2x - sinh 2x =2              (1) We know that,           cosh x =ex+e-x2sinh x…

Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: 4-x2 dx -2

A: The given integral is

Q: 3x2[x18 + x15 sinh(ax³)] dx

A: Given that ∫3x2x18+x15sinh(ax3)dx, 3∫3x2x15sinh(ax3)+x18dx Take u=x3→dudx=3x2,…

Q: dx 1- S 4+x2

A:

Q: dx (solve in two ways: let x = 6. x² /x² + 1 tan 0 or x =

A: Definition used -              Trigonometric substitution -                    When there a…

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

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

A:

Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

A:

Q: 1-x 362. dx; u = 3x-x 3x-x'

A: As per bartleby guidelines I need to solve only one .So, please repost the 2nd question separately…

Q: (sin (x/9)°dx J81-x? ral 2

A: First we put sin-1(x/9)=t and differentiate both side with respect to t and then solve it. Follow…

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: Q-6: Evaluate the integral 1). dx So Jie-1

A:

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: dx sin-1x +c using method V1 – x2

A: Given:

Q: Solve dy *- Jxy +1 with yeo) =1 for finding yfo.075) dx take h=0-025

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: B1. Evaluate the integral | sinx (2 csc x- 4cot x) dx .

A: Given: The integral given is  ∫sinx2cscx-4cotxdx

Q: 1- (x².e2). dx

A: First integrate the function: ∫x2e2xdxIntegrate by parts: ∫fg' = fg-∫f'ghere f=x2, g'=e2xf' = 2x,g…

Q: dx (Solve it using integration by Rational fractions) sintx+cos4x

A:

Q: ecot ha dx sinh x cosh x + e sinh2 x

A: In this question, we need to evaluate the given integral.

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 Where is the function increasing and decreasing in…

A:

Q: 4 -4 x3 16-x² dx is equal to

A:

Q: Solve the definite integral ro e(arcsin(x)) dx. V1 - x2

A:

Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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: Does x2 - 10 = x sinx have a real solution? Show your process. -

A: Let f(x)=x2-10-xsinx  Then it is clear that f is a continuous function on R. Now…

Q: Q3/ Find ∫ √x * Sin2 (x3/2-1) dx=? (by substitution)

A:

Q: - (x³-x²+2)dx x-1

A:

Q: SIV2 2x sin-(x²)dx 1//2 1

A: the given integral is: we have to evaluate the given integral.

Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

A:

Q: 1- y '(2x) = Sinh

A: the question is taken from calculus and in which we have to find the derivative of the given…

Q: 2.) (3x + x2) sin(2x) dx Use whatever method you want to

A: Part 1

Q: 1? sec?( sec-x)dx x/x2 -1 3

A: By using substitution we can the given integral

Q: (3) S 4-x² dx

A:

Q: 1- S 9-4x2 dx 2 - x tan- x dx

A: 1.Given integral,               ∫9-x2xdx

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: V1 - (In x)² x ln x VI dx

A:

Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: 2. 16-x dx 2.

A: