1.15 L t + 4H t %3D -

Q: 3. S dB Bln*ß

A:

Q: 1 dx

A: This question can be solved using the concept of definite integral.

Q: 2х е* dx

A: We have given the integral;

Q: 15 dx

A:

Q: 5. S dx

A:

Q: L[t sinh4ł]=..

A:

Q: 3. ſ cot 3x csc³3x dx

A:

Q: 17. 2x√/x dx 18. de xVx S

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: 8. L (2x° – 3x) dx

A: Solution for Q no 8 in given in the next step:

Q: Solve the IVP: dH/dx 3H when H(0) = 1

A:

Q: 4. S(9x + 33x +22) dx

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

Q: 4 dx 8)

A: Consider the given definite integral.

Q: 1. dx x2 + 6x + 10

A:

Q: 4 T dx - 1 er 15

A:

Q: 5) S dx X5V9X2-1

A:

Q: 6) L (x- 3)(x + 2)? dx

A:

Q: 10) (2 ydx+dy)e" =0

A: Given DE is 2ydx+dye2x=0 solve it by exact differential equation

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: 2 х dx .

A:

Q: 100 dx 4.

A: The given integral is I=∫0100dx To evaluate the integral

Q: 9 S10²/x dx

A:

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

Q: d/dx (x^6 + ln(x) + 21)

A: given ddxx6+ln (x) +21

Q: 2 с. dx

A: topic - definite integration

Q: 10.S vx csc(xvx) cot(xvx )dx

A:

Q: (a) tanh(2lnx )

A:

Q: S dx 4+e*

A: follow next step

Q: 10.) L So exte-x dx È

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

Q: 10 5 dædy

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: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

Q: 11) S₁0 x ³ lnx dx

A:

Q: 6) S dx

A: We apply substitution rule for solving the integration

Q: 3. S dx xVx6 – 1

A: Here we have to solve the given integration.     ∫dx/{x√(x6-1)}

Q: ×+4メ+ム dx

A: We have to evaluate the given integral.

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: 6) dx

A:

Q: (1 — х")dx

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

Q: 2*dx

A: using formula

Q: 3. S V5 + Vx dx

A: Given the indefinite integral I=∫5+xdx           .......(1)

Q: 2x 3 L* (6- 22 – 3y) dz • dy

A:

Q: 1. dx =

A: Given: To Find: To evaluate the given integration using partial fraction.

Q: 4. S x²V9 – x² dx

A: the given integral is: ∫x29-x2dx we have to evaluate the given integral.

Q: 51. $ dx ах

A: Explanation of the answer is as follows

Q: 2) S 3cotx.csc² (x)dx

A: I have used method of substitution of integration and formula

Q: dx s). S- x+4x+5

A:

Q: S xVx – 1 dx =

A:

Q: 7.) L13x + 1|dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.