Find the length of the arc of x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant. (Solve using Integral Functions)

Q: Find the integral. er sin(5x)dx - IT

A: Known integral formula:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan5 dx sec x

A: We have to find the integral of the given expression   The expression is   ∫tan5xsec8(x)dx

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: x arcsin(x²) dx;

A: Given that: *∫sin-1u×du=u×sin-1u+1-u2+C The given expression is, ∫x×sin-1x2×dx Let,  x2=u,…

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 sin 3x dx

A: The integral is ∫ 3sin3xdx By using the constant-multiple rule, ∫ c f(x) dx =c∫f(x) dx Here c = 3 ∫…

Q: Find the exact value of the integral using formulas from geometry. 5 (3+ 2x)dx 1

A:

Q: To evaluate the integral |(2x+1)tan Vx dx using Integration by Parts, we should choose

A:

Q: |x| 1 dx -1

A:

Q: Evaluate the integral. arctan dx 1

A: For evaluating the given integral, we will use the concepts of integral by parts and integration…

Q: What is the value of the integral ∫2−2 max [1,x2] dx ?

A: This question is related to integration.

Q: A particle is projected vertically upward from a point 112ft above the ground with an initial…

A: In the projectile motion a particle is thrown upward with some initial velocity and its come down…

Q: Use the Special Integration Formulas to find the indefinite integral. ∫ √(36 − 5x2 )dx

A:

Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2 for 2≤x≤6 if you integrate with…

A:

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx xV 81 - (In x)2

A: Given integral  ∫9x81-lnx2 dx keep in mind the formula  ∫dxa2-x2 =  sin-1xa+C

Q: Evaluate the integral. (Use C for the constant of integration.) 7 arctan(x) dx

A:

Q: Solve: The integral of (sec(x))^3 dx.

A:

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

A:

Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: Find the indefinite integral. (Use C for the constant of integration.) arcsec(7x) dx, x >

A: We need to find the indefinite integral.       ∫arcsec7x dx,    x>17

Q: Evaluate the integral. (Use C for the constant of integration.) (arctan(x))5 | x2 + 1 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: sin4 50 de

A: Integrate

Q: ( 5tanx sec'x dx .2,

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(7x) sec2(7x) dx

A:

Q: s/4 dx 2- 1+tanx 3.

A:

Q: dx = arcsec x + C xVx2 – 1

A:

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: Use integration by parts to find the indefinite integral ∫arctan 2x dx

A: Consider as I=∫tan-12x dx Now let u=tan-12x, v=1 Use the property of integration which states, ∫uv…

Q: Prove by using integration by change in variable the ff. integral: dx = arcsec x +C xVx² – 1

A: Our Aim is to prove the given integral given below by using change of integration.∫dxx(x2-1)dx -(i)

Q: To find the arclength of y = 3x² + 3 from æ = 0 to x = 4, which is the correct integral? OL = | VI+…

A:

Q: use a geometry formula to find the exact value of the definite integral.  5 dx on interval[-2,6]

A: Question is to find the exact value of the definite integral 5dx in the interval [-2 , 6 ]It is…

Q: Find the indefinite integral. (Use C for the constant of integration.) | cosh(5x) dx

A:

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sec' 4x tan 4x dx

A: Topic- integration

Q: sin 1+V dz

A:

Q: Use the Special Integration Formulas to find the indefinite integral. ∫√(5x2 − 1) dx

A: Given:

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 8x + 7) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan(8x) sec2(8x) dx

A: We need to evaluate the following integral I = ∫tan8x3sec28xdx…

Q: q² In(x³ + 1) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 64 4 -

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

Q: What is the value of the integral ∫2−2 max[1,x2]dx ?

A: Value of the given integral is 2x [1- ((x^2) /3) ]

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to…

A:

Q: Use integration by parts to find the indefinite integral ∫e2x sin 3x dx

A: Let  I=∫e2x sin 3x dxBy using the  Integrating by parts…

Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: The definite integral that can be used to find the arc length of the curve y =x-2 on the interval…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 - ex dx

A:

Q: Use integration by parts for both.

A: The given integral is