1. Evaluate / (* + 1)* dr. 2. Evaluate ret dx.

Q: 1 dx. 3 Evaluate x(lnx 8.

A:

Q: 4. Which is negative, 8 dx or 8 dx?

A: We find the integrals first

Q: 7. Find 3 So 1 X x5/2 + x3/2 -dx

A:

Q: 10*(100* + 1)dx

A:

Q: 2. S 22+3x dx = 4 ( +c In 8.

A:

Q: fesch² (1- csch² (1+ 3x) dx

A: Hyperbolic function need to be integrated.

Q: Evaluate 1 e* +e*

A:

Q: Evaluate using Table 1 or www.wolframalpha.com. x dx 4x2 – 12x + 9 8 33. dx 3x2 - 2x 34. dx 35. 36.…

A: As per company guidelines, I can solve only one questions in multiple given questions.

Q: Evaluate ſ csc* x dx

A: Formula: csc2x = 1+cot2x d/dx(Cotx) = -csc2xdx

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: QUESTION 3 Evaluate dx.

A:

Q: 6. S sec3 dx

A:

Q: 6. 22x+x dx 5. f 22x

A:

Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: S dx b² +x4 - Evaluate

A:

Q: 9. dx

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: 7. (r +1)( + 4)

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: S tan³x. Vsec x dx

A:

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

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.