3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

A:

Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

A:

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

A:

Q: completing the square, show that r1/2 da 2² – r+1 3/3

A:

Q: 12x²-x² * x+2 dx= D dx • x +1 Consider dx = ,find A+B+ C+D· x4+ x3

A: Consider ∫2x3-x2+x+2x4+x3 dx=∫Ax+Bx2+Cx3+Dx+1 dx, then to find A+B+C+D.

Q: [sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x); [cos(2x) – 1]+ +C + 12 8 4 sin(3x)cos(3x)…

A:

Q: 3s+10 W(s) = s(s-8)(s-6)²

A: To solve the following problem

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

A:

Q: Evaluate the proper Integral X-X aJ Simplified form b) Values of A, B,C,D CCD P needed) C)…

A:

Q: The position of a particle in the xy-plane t time t is r(t) = (e') i+ i. Find an equation in x and y…

A:

Q: (2) Problem 2: Use the provided table of values to write the table of values for the following…

A:

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

A:

Q: %3D variable expressions represent positive real numbers. Write logarit as a single logarithm with…

A:

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

A:

Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

A:

Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 1. Evaluate the following limits. 2 - V2x + 10 a. lim 1-3 x2 + x – 6 4x – 7 1 lim с. -1- (3r2 – 2r…

A:

Q: V x2 + 4x – 5 dy using Trigonometric Substitution find x- Consider x+2 O -2+3 sec e O 3 sec e sec e…

A:

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: evaluate indkfinite intersal

A:

Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

A:

Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

A:

Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: Determine the open intervals on which the graph is concave upward concave downward. (Enter your…

A:

Q: dx consider Using trigonometric substitution, find u ar (x²+x+1)½ (A) u=x+1, a=- (B u=x+1, a=1 C)…

A: Topic:- application of integration

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

A:

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

A:

Q: B. f is not continuous at x =a C. f has a relative maximum at x = a D. f is continuous but not…

A: Here, we have given a function now we have to calculate the points where the function has point of…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: Determine if the relation defines y as a one-to-one function of x. OThe relation does not define y…

A: topic - relation and functions

Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

A:

Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

A:

Q: sec(6z)tan(6x)dx, u = 6x

A:

Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

A:

Q: Evaluate the indefinite integral. 15 +°dx

A: Given query is to eveluate the integral.

Q: az Find and for each of the following functions. ax ду a. z = x²y+ b. z = (x* + x²)y³ c. z = yzsin…

A:

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

Q: Consider / sin'x cos²x dx. jf we let " =cos x , the integrand can be transformed to , O J(- 2u?- u*…

A: The given integral,    ∫sin5x cos2x dx

Q: y(z – 2x)100 = y – xz; Xy and yz. |

A:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: (1 + Зx) dx

A: We have to evaluate the integral

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

Q: Evaluate the integral Scot? x dx -cot x - x + C cot x + x + C cot x - x + C 1 cot x + C .3 X + O O

A: Topic = Integration