•tanx √1+1² 0 1+e' sec ³x 1+etanx If f(x) = A B C D -dt, then f'(x) equals 1+tan²x 1+e' tan.x In (secx)√1+tan²x 1+etan.x sec²x 1+etanx

Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1, 3 (A) Žunit² 1 -unit² -unit²…

A: We need to find area.

Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: - States √1+1² * tanx V1+t2 0 1+e' 1+tan²x 1+ e tanx In (secx) √ 1+tan²x 1+ e tanx If f (x) = A B…

A:

Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

Q: Question 37 1 Solve the integral: S- dx √√√√x+x A m/1+ + X +C ℗ 6n/5+x²³| +C B Ⓒ1+x²+c с X C =…

A:

Q: Find the volume of solid generated by revolving the region bounded by f(x)=x²+1and g(x)=x²+2x+5about…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the improper integral 3 A 4 B O diverges N|9 름 12²233/30 dx

A:

Q: 2 Let f(x)=√3x-2 on the interval 1 1. Revolve the region between the curve, y=1 and y-axis about the…

A:

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 43x 135 83x 125 83x 135 43x 125 B 0 D…

A:

Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

A:

Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3)dx eln(2x²+3x-4)³ A (2x²+3x-4) (2x²+3x+4)4 + C 4…

A: A detailed solution is given below.

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: C option is false.

Q: 3 •√₁²³f(x)dx=5₁ ₁²9(x) g(x) dx = 7, and 1 3 h(x) dx = -5 Which of the following can be determined…

A:

Q: Evaluate the double integral: A) 40 B) 60 C30 D) 80 ²² (3x² +9y²)dxdy

A:

Q: cylinder cone pyramid if this triangle is rotated about the x axis, what figure is formed?

A:

Q: How many antiderivatives does a function of the form f(x)=x" have when n*O₂ A infinitely many B may…

A:

Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A:

Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

A:

Q: Question 14 dx Transforming - using miscellaneous substitution will yield to secx + 1 1-z² A 1+z²…

A: Here we have to transform the given integral by using miscellaneous substitution.

Q: en 0 3 | f(x)dx=0 and. -1 S 11 11 5 55 6 f(x) dx = = 11 6 , evaluate 1 J 3f(x)dx - [2f(x)dx.

A: We will distribute the integral in two parts .

Q: 3. Use two rectangles of equal width to estimate the area between the graph of f(x) = x + cos(x) and…

A: Solved below.

Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

A:

Q: In the indefinite Integral Sin(cosh x + ex). integrand? sinh x + ex cosh x + ex dx, what is the

A:

Q: Question 2 Solve the integral: A √√x 3 B 33√/ x² +C 3√x² +C 6 6√√x +C D √√ 3√x dx

A:

Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- dx, what is the integrand?

A: Intergrand

Q: Solve the integral: √x 3 / x2 + C 6 6/x + C 33.2 + A B (C) D + C dx

A: On solving this we will get Option (C) is correct

Q: Evaluate the double integral: 4 LA LE 2ydydx

A:

Q: Evaluate the improper integral (A) diverges B (Q) Na O ساح 3 1²23 -dx

A:

Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

A:

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

A:

Q: A B 15 / = √=42+ = ²1 If S (x+1) dx (x+2)(x-1)² + x x-1 1 2 A - 93 2 B C (D) 1 -la - 93 -la I 2 3 2…

A:

Q: Question 10 tanx If f(x)= A (B) C D sec ³x Itelin sec²x Iteline 1+1² I+e' -dt, then f'(x) equals…

A:

Q: Which of the following can be determined O [ars) A (4f(x) + 9h(x) dx B [²³(f(x) + g(x) (f(x) + g(x)…

A: We have to find out

Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1 3 unit² A 3 B unit² Ⓒunit²…

A: Topic:- application of integration

Q: (x+1)dx (x+2)(x-1)² 2 . 93 15 S If (A (B) (c) D -- 9 9 9 2/3 W|N 3 A = -√ [14/2₂ B + x+2 x-1 +…

A:

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. A (e²-1)² e² sq. units B (e³-1)² e3 sq.…

A: The region bounded by the curves f(x)=ex, g(x)=e-x and x=3

Q: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

A:

Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: We have to find volume

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Evaluate the improper integral 3 A 4 B) diverges с 0 D 2 N|O √√² 3³/3 m|f dx

A:

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A:

Q: X+2 Determine the case of the following proper rational function after simplification: (x² - 4)(x³ -…

A: The given expression is:…

Q: Let the integral be solvable' using trigonometric substitution. What is the correct choice of u…

A:

Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

Q: Determine the area bounded by  f(x)=x^2 -x and x-axis.

A: Explained below

Q: 2 Let f(x)=√√3x-2 on the interval 1. Revolve the region between the curve, y=1 and y-axis about the…

A: To solve this problem we use cylindrical shell.. method.

Q: 17. Evaluate [9e³x dx O9e³c+1 3c+1 O9e3c O9ec-3 3e³c-3

A: