4. Simplify completely Int dt using FTC-1. retz e3z

Q: Estimate ∫4/1 6x−3 dx using right endpoints for n=5 approximating rectangles.  ∫4/1 6x−3 dx is…

A: we are given integraland number rectangles =5

Q: Fühd dy ldy bY Imelicít differeveti ration. 3

A:

Q: Suppose that a spherical balloon is being inflated and the radius of the balloon is increasing at a…

A: The increasing rate of radius of ballon is

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: Find the indefinite integral. est dt = +C.

A:

Q: Explain, in terms of linear approximations, why the  approximation is reasonable. ln 1.05 = 0.05…

A: Given: (1.01)6=1.06

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.06 cm…

A: Given information: The diameter of the hemisphere is 52 m that means the radius is 26 m. Formula…

Q: A particle has a velocity at time of 4, + 2t meters per minute, where is in minutes. Estimate how…

A: To find the distance traveled using 4 intervals

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: Find the most general antiderivative or indefinite integral. dt

A:

Q: Calculate the times (in months) needed for the degradation of ascorbic acid by 50% in orange juice…

A: The standard equation for first order kinetic reaction is given by lnC=lnC0-kt. In this equation k…

Q: Evaluate the inted dx x "+ 4

A: Given:     ∫1x4+4dx

Q: A honeybee population starts with 100 bees and increasesat a rate of n'(t) bees per week. What does…

A: Given data: The initial honeybee population is n(0)=100. If n'(t) is the rate at which the…

Q: Find the most general antiderivative or indefinite integral. 6 5 dt

A: The given integral,          ∫tt56+t3t2dt

Q: find integral x / sqrt (x 2 +4) dx

A:

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .

Q: Int Slt-1) dt 7. Find j

A:

Q: Find the indefinite integral.

A:

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: Let y=f(x) be a differential function.  differential dx  is an independent variable.  the…

Q: Find indefinite intrege ex -2e て +)S =xp ( xe

A:

Q: Find the indefinite integral. ∫sec4x dx

A:

Q: integral of 70/t+9

A: Integrate the following function with respect to “t”.

Q: Evaluate the integra S 10x dx

A:

Q: Evalucate the definite Intcgral S. (l0x+4) dx 3

A: detailed solution is given below

Q: Calculate the numerical value of following inte 3x dx =?

A: The solution follows using integration by parts and plugging the values .

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: Find. d? (® Int) dt

A:

Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: 5. S Vr3 In(Vx) dx 6. Si, Inx dx J1

A: This question is based on indefinite and definite integral.

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: write a differential formula that estimates the given change in volume or surface area.

Q: -8 ventex= X -int=

A: The given quadratic function,   f(x)=2x2+6x-8

Q: Evaleiate the definite integgal. Din'xcooxdx -T/2

A:

Q: 10Evaluate the integral 2TT ex ス

A:

Q: Find da Vt dt 1+ t2

A: Using the leibnitz test for single variable to solve the differentiation of integration problem.…

Q: Evaluate 4xcos 3x dx by using integration by part.

A:

Q: Evaluate the following integral | 5t4 Int dt

A:

Q: Use differentials to approximate the quantity   √99.7

A:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Complete the following inte x 00 eX dx X= 1

A:

Q: Find the following indefinite integral. JaVx+5 dx

A:

Q: sec dx Eanx

A: Given

Q: Evaluate 1₁ 2 t(1 + Int)² dt

A:

Q: find integral   x sqrt (1 +x 2 ) dx

A:

Q: Evaluate the following indefinite integral. 10 10Vx dx 10 • 10/ dx =

A: Solution:

Q: * Find the principal value of (-1- i VN)e" iNT 3

A: Use the properties of logarithmic and exponential functions za=elogza, logab=loga+logb and…

Q: Find the indefinite integral ∫sech23x dx

A:

Q: What is the value of the definite integral 61 +2 dt?

A: