Question
Using trigonometric substitution calculate the integral of x√(1+x^2)dx
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Integration

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Evaluate the integral by changing to cylindrical coordinates: , N Sy xzdzdxdy x²+y²

A: Click to see the answer

Q: Last summer, a Meralco electrician conducts a record of the electrical voltage supply readings withi...

A: 1. The given table represents the electrical voltage supply readings (v) with time (t). We need to d...

Q: The Mean Value Theorem for Integrals

A: Click to see the answer

Q: The determinant of this matrix is 2. OTrue. O False.

A: Click to see the answer

Q: Using a double angle identity, which of the following choices is equal to cos (6z)- sin (6z)? O cos(...

A: We know that the double angle property of cosine ,  cos (2 A ) = cos2 (A) - sin2 (A)   

Q: 2500 bacteria are in a box. They double every half hour. How many are there in 40 minutes? How many ...

A: 2500 bacteria are in a box they double every half hour. (a) How many are there in 40 minutes (b) How...

Q: Find any value of c for which the improper integral cx + 36 x2 + 1 9. da x (4 x + 5) converges.

A: Click to see the answer

Q: 3z2 + 7x + 4 Let f(x) : 2x2 + 9x This function has: 1) A y-intercept at the point 2) x-intercepts at...

A: Click to see the answer

Q: Black bears (Ursus americanus) tend to wander for food, and they have a high level of curiosity. The...

A: Given the outcomes of transplants in Glacier National Park over a 10-year period Given that a black ...

Q: Calculus Question

A: Since solve the first question for you. If youwant any specific question to be solved then please sp...

Q: Find the inverse of the matrix if possible. Show all work.

A: Click to see the answer

Q: -(X-3) e dx

A: Click to see the answer

Q: Suppose that the probability of event A is 0.3 and the probability of event B is 0.4. Also, suppose ...

A: Consider two events E and F, and P(E) = a and P(F) = b. If E and F are independent events, then # P(...

Q: 6) S sech (2x - 3) dx 7)S e-e-x e*te-x dx 8) [(eax – e-ax) dx sinh x 9) S 1+coshx dx

A: Click to see the answer

Q: determine the average function value

A: we have to find the average value of the function f(x)=(4-x)ex2-8x    on [1,4]

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x?, x = 1, and y = 0, a...

A: Click to see the answer

Q: Please solve all parts. Thank you

A: Answer 

Q: Question 1 please

A: Click to see the answer

Q: Help me solve question 13 and 14

A: Click to see the answer

Q: The probabilities that a patient will have 0, 1, 2, 3, or 4 medical tests performed upon entering Ea...

A: Click to see the answer

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1. ...

A: A function f(x) is continuous at x=c if the left hand limit, right hand limit and the value of the f...

Q: Find the general solution of separable differential equation:               dy/dx = -xe^x

A: Click to see the answer

Q: Find the three third roots of 4

A: Explanation: Given that,  π4 Need to find the three third roots or cube roots.  

Q: Based on the graph of f(x) below answer the questions to the right. If a limit does not exist, write...

A: Limit of a function.

Q: Find dy/dx by implicit differentiation given that 3x – 5y³ = sin y. %3D

A: Click to see the answer

Q: -4 -3 -2 -2 41 Which of the following is the polar equation for the graph shown above? Or = 3 cos(20...

A: Sketching the graph of r=3 cos2θ, we get Which is not same with given one.

Q: The point P is on the unit circle. If the y-coordinate of P is 3 and P is in quadrant II , then 8' Q...

A: Click to see the answer

Q: Question 8 Consider the graphs below, where y = G(x) is the graph of the parabola. The domain of bot...

A: Click to see the answer

Q: WITH FBD SOLUTION GIVEN AND REQUIREMENTS THE ANSWER IS THE SECOND PICTURE   SOLVE USING DEFINITE INT...

A: Click to see the answer

Q: A random group of 125 senior and junior students at Alpharetta High School were classified according...

A: for the following question of probability,

Q: (8) 20. Evaluate the following definite integrals: (a) (5 sin z + 7 cos(2r) + 3 sec² r) dr (b)

A: Click to see the answer

Q: Solve 2 cos (z) – cos(z) – 3 = 0 for all solutions. 1= n+ 27 x where kis any integer Give your answe...

A: cos(A) = cos(B) then A = 2kπ ± B where k is an integer.

Q: Find the inverse of the matrix if possible. Show all work.

A: The given matrix is: M=30-1-4620-51 The inverse of the matrix is: det(M)=30-1-4620-51=3(6+10)-0(-4+0...

Q: Consider the function f(x) (IMAGE ATTACHED) (a) Determine the intervals of increase and decrease. (b...

A: Click to see the answer

Q: If we are getting the partial derivative of f(x,y) with respect to x, we are letting the y variable ...

A: hello greetings from bartelby.i am here to help you.

Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В. ...

A: Click to see the answer

Q: Solve differential equetion. = 8X+_5X dx 4-202

A: Click to see the answer

Q: determine if integral is convergent or divergent

A: Click to see the answer

Q: he by a force F = 8i – 6j + 5k that moves an object from the point (0, 8, 4) to the point (6, 14, 24...

A: Click to see the answer

Q: determine if absolutely convergent or conditionally

A: Click to see the answer

Q: a) Suppose f is differentiable everywhere and f'(x) > 0 for all numbers x except for a single num...

A: Click to see the answer

Q: Find the general solution of separable differential equation when x=1 and y =1               dy/dx ...

A: Click to see the answer

Q: Find a Taylor series representation for f(x) = cos x centered at r = 5. What is the radius and inter...

A:  

Q: Using trigonometric substitution calculate the integral of x√(1+x^2)dx

A: To evaluate: The integral of ∫x1+x2dx. Formula used: Derivative of tan x is sec2x. Power rule of int...

Q: 12) For tue funcion f (2)=(«+j} 2) pind tue cnnicel numbers of f(if any); b) Find tue open injernaly...

A: f(x)  =  (x - 1)2/3    f'(x)  =  d/dx ( (x - 1)2/3)  =  (2/3) (x - 1) -1/3     For critical points, ...

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If y...

Q: Find the derivative of f tan-1t dt

A: Given: Let y=∫21xtan-1 t dt To Find: The derivative of the given function      

Q: a. negate: “every sun is red.” b. expand: (3x − 2)^5

A: Given: a. negate: “every sun is red.” b. expand: (3x − 2)^5  

Q: -4 -5- The graph above is a transformation of the function a. Write an formula for the function grap...

A: Click to see the answer

Q: Use a trigonometric substitution to evaluate the integral below.

A: Click to see the answer