2 X In- 1 xp- (x+1)² ' (x+1)² 2

Q: 2. Evaluate the integral 4 dx V2x-5 5/2

A:

Q: In (**) 1+v1-x²' sech-1 x (A) O sech x

A:

Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

A:

Q: 6. Evaluate the integral ex e* +e-xdx

A:

Q: 4. Evaluate the integral. S tan (2x) sec°(2x) dx

A:

Q: 8. Evaluate the integral. 2 2 (a) S(4x°. 3x + 2x)dx - 1 4 4+6u (b) S(ou)du Vu 1

A: Using rules of integration & formulae of integration.

Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: Evaluate the integral : S 8г2 +10х—6 (х—1) (х+1)2 dx = |

A: The given integral is ∫8x2+10x-6x-1x+12dx.

Q: Solve 4 sin 2x S1₁= 8 4 -1 -¹x³ + x²-x² +2 dx

A:

Q: Solve the integral. 6х — 3 1.5 -dx 4x2 – 4x + 1

A:

Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: 1 Integrate with respect to x. 4+ 25(3x +1)²

A:

Q: X+4 -2x2 - 14x - 24 1. f(x) =. Holes: Vert. Asy: Hor. Asy: x-int: у-int: Domain

A: Given functionf(x)=(x+4)-2x2-14x-24For Holeset…

Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)…

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: In x Evaluate S 2 x(4-ln² x) O2 ln | 4 - In² x | +C Oln | 4 - ln² x | +C O ln | 4 - In² x | +C Onx…

A: Given ∫lnxx4-ln2xdx

Q: 1. Evaluate the ff. integral f, (5x6 + 3x³ + 6)dx ·1

A:

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

A:

Q: 13. 2x + 1 dx = 2х %3D A. 1 x +Inx + K в 1+;x-1+ K x + 2 In 2x + K D x+ 2 In x + K

A: ∫2x+12x dx

Q: Find 9x(10)*- dx 9 (10)* Oa. O a. 10 (xIn10 – 1) - In 1 + 10x| + C. In|1 + 10x| + C. (In 10) 2 10 O…

A: Option (d) is correct.

Q: In x /1+ (In x)² 6 S -dx

A: Given query is to eveluate the integral.

Q: Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c…

A: I am attaching image so that you understand each and every step.

Q: Solve for x. 3 In (x+1) = 15 Do not round any intermediate computations, and round your answer to…

A: Solve for x in the given equation

Q: 6. S sin(ln x) dx 7. Show that x" In x dx = 山+ In x + C. n+1 n+1

A: Note: As per the company's guidelines we have to solve only one question. So, kindly post the next…

Q: 1. Evaluate 5 S Sx (x + 3x)dydx

A: Given, ∫05∫0x x(x + 3x) dy dx=  ∫05∫0x (x2 + 3x2) dy dx=  ∫05 ∫0x (x2 + 3x2) dydx= ∫05 ∫0x 4x2 dydx

Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

A:

Q: on inteaurron (ii) Determine the general formula for V Pn.

A: Numerical analysis.

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

A:

Q: de xdx 1. (In* 4x-1) 2. V3x +5 sin 4x de de 4. 9+8cos 2x 3. (5x-3)dr 5. 3x-3x+2 (3-4x)dx 6. TAx…

A:

Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: S de x² –2 x+1 A x2 --x - In Ix + 11 + C C x2 +x - In Lx + 11 + C B x² -x + In Lx + 11 + C x2 +x +…

A: Given ∫x2-2x+1dx. The objective is to evaluate the integral.

Q: 1 1- (-1)". f (x) = 2 sin nx. - n=1

A:

Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

A:

Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

A:

Q: Find S(3/(x) + cos7x + 4 + 20) dx None x1.5 sin7x + 4log x + 20

A: Now,  We will find the integration to the given problems.    Integration of cosec2x dx = - cot x +c

Q: 2. Evaluate the integral x(3 – 5x) (3x – 1)(x – 1)2 dx

A: To solve the following integral

Q: 6. Evaluate the integral. x³e2x dx

A:

Q: How large do we have to take x so that 1/x

A:

Q: 7. Evaluate the integral. Vx2 – 25 dx х3

A: First we will make a trigonometric substitution of x=5*sec θ then we will solve it and integrate it.…

Q: 19. f(x. y) In(1 - x - y) %3D

A: As per our company guidelines we are supposed to answer only the first question that you have…

Q: -X +7 Evaluate the integral: dx (x-2)(x+3) In x - 2|+2 1n x +3 +C 2 In |x – 2| – 2 In |x + 3|+C 2…

A: First of all we will do partial fraction, then we will evaluate the integral.

Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

A:

Q: If g(x) : 8 + cosh(9x) find g'(x) 8+ cosh(0)

A: Answer and explanation is given below

Q: 7. Evaluate the integral x4 6x5 1 dx

A:

Q: 2. Integral A e3A dA

A:

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.