coshx 5) dx ++sinh²x

Q: 5- (tanx + secx)2 dx

A:

Q: cosh / 2x 18) dx Vx² sinh³ /2x

A: The given integral: This can be rewritten as, To evaluate the integral: Apply linearity the above…

Q: sin3x dx 1+cos3x х dx x+4

A:

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: 응(2cosh(sinfx-v)- 8. x² cosh(sin(x 9. 10. V+coshz

A: Partial derivative of f(x , y) w.r.t. x can be found by differentiating w.r.t. x keeping y constant…

Q: Describe the method used to integrate sin² x.

A: The process to find the integration of sin3x is to write in a way through which its differential can…

Q: ( sinh3x cosh³x dx

A: Consider the integration as I=∫sinh3xcosh3xdx

Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: sec2 (을) dx 23

A: The given integral is ∫sec24x2x3dx.

Q: -sin(4x²) = dx

A:

Q: Evaluate

A:

Q: Describe the method used to integrate sin3 x.

A: Given I = ∫sin3x dxTo integrate sin3x , substitute sin3x  = sinx . sin2xor sin3x = sinx . sin2x =…

Q: sin S S. cossx (3-2secs)

A: The given integral is ∫sin 5xcos2(5x)3-2sec(5x)dx The derivative formula is ddx(sec ax)=atan…

Q: 3. S. 2 cotx-3 sin²x dx sin x 4. (2x2+x dx x+1

A:

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: S sin 2x sin 4x dx 7.

A:

Q: 3. dx (sinh(2xV1+x du

A:

Q: 3- Sin4x dx S 3-Sin4x dx ノo

A:

Q: इसे १५ Sin 2X *3 tant 2X Lind ds_2

A: Given that the function is   y = 2sin2 2x × 3tan-1 2x To find the dydx

Q: 9– x² -dx

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5sin(4x + )sin(2x-)dx

A: The given integral is, The integral cannot be solved directly and we would have to use some…

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: csch (2 sin2x)dx 1. 1– 4x²

A:

Q: #4 tan lun sec x dx 4.

A:

Q: 4 fcos 3x sin³ 3x dx

A:

Q: 3 sinx 19. dx V1-x²

A:

Q: sinx(tan(x/2))-sinx=0

A: sin x tanx2-sin x=0

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: 2cosx dx 5- ? 2 1+(sinx)2

A:

Q: (cosh ' []] 1s dz

A:

Q: [17 sin³ x costx dx 5.

A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: cos(2x) dx sinx+cosx dx Vex

A: Find your answer below

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

A:

Q: integrate 1/(sin^2(3x) dx

A:

Q: (cotx + tanx)² dx 3 4

A:

Q: 1- (secx+ tanx)² dx 3x-7 dx 2- Jx-1)(x-2)(x-3)

A:

Q: Jam sin(10x) dx

A:

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: - S sech-x tanh x dx 1 2 2

A: From the given problem: I=∫sech12x tanh12x dx=∫sechx2 tanhx2 dx....1 As we know that:…

Q: sin 2x dx 4. J2osin cosmetin2xdx

A:

Q: 2cosx dx 2 1+(sinx)²

A: Please refer the attached image for complete solution.

Q: S secs/2 (금x) tans (글x) dzx

A:

Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15

Q: Ssin(3x) sin(7x) dx

A:

Q: difference between the methods necessary to integrate ∫sin2x dx and∫sin3x dx

A: Describe the difference between the methods necessary to integrate ∫sin2x dx and∫sin3x dx

Q: 5- y = 1+sin(4x2 + 2)

A: Note - As per our guidelines we will solve first question only and rest will reposted.  ddxxn =nxn-1…

Q: SVx² + 10x + 25 dx. (cos4*x – sin4*x)dx dx

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.