Find y dy √x+2 using the substitution u +5=√√√y+2.

Q: y dy Find ·S- using the substitution +5=√√√y+2 √√y+2 (√x+2-5)(-5√/y+2+y+21) + C © ²/(√x+2-5)…

A:

Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…

A:

Q: Consider ·S= x-m+- Sx 3x5 -dx. Using the method of partial fractions, the given integral can be…

A:

Q: I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=— tox=³ 3.667 square…

A:

Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…

A: On solving this we will get

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: Question 19 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-to x=-…

A: Given

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/2 0…

A: The objective is to find the correct option.

Q: 19. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A:

Q: S For x1/2 x−x³ dx and using the substitution u=x1/2, the resulting integral takes the form:

A:

Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A:

Q: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

A:

Q: Evaluate tan" (x) secx dx. 1 A n(m + 1)(x). m+1 1 (В -tan (m + 2)(x) + m+2 1 -tan (m+1)(x). m+1 1…

A:

Q: 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= to 3.459 square units…

A:

Q: ·S= Evaluate 3x5 3x4+6x³-3x² - 6x + In x² - 4x 2 x² - 4x 2 x²-2x-In x² - 2x 2 -dx using method of…

A:

Q: x ¹/2 dx and using the substitution y=x1/2, the resulting integral takes the form: x-x 4u -du…

A: We have given integral  I = ∫x12x-x3 dx u=x12 du=12x12-1 dx du=12x-12 dx du=12x12 dx 2du=dxx12…

Q: QUESTION 6 Suppose m and n are constants and m‡n. Evaluate 1 1 -sin(m-n)x+ -sin (n m-n m+n n+n)x] +…

A:

Q: .2 dx x²+2x+5

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: QUESTION 8 Consider S S[x_m+ 17/6 5 6 14/3 3x5 -dx- Using the method of partial fractions, the given…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: º fun"(x) sec¹x dx tan Evaluate

A:

Q: The rose r = 3 cos (50) is shown below: 3 -3 Find the area of the region bounded by one loop of the…

A: We need to find area.

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx A − cos(m− n)x+ · -cos(m+n)x] +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ·S S For S- x 1/2 -dx and using the substitution=x 1/2, the resulting integral takes the form: 4u…

A: topic - indefinite integral

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Given:  Region x2=4y             y=x24               y2=4x                y=4x                 y=2x…

Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

A:

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

A:

Q: Question 11 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Explained below

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ( (1/4) Inx - B) + C? A 3 (в 0 с 2 D 1

A: We have to find the value of f(1) -16B where it is given that  ∫x3lnxdx = f(x){(1/4)lnx - B }+C    @…

Q: Question 14 π 5ñ Find the area bounded by the trigonometric curves y = sinx and y=cosx from x = —to…

A:

Q: -S₁ Consider 08 14/3 O 17/8 05 3x5 3x4+6x³-3x²-6x •√(x-1 -dx- Using the method of partial fractions,…

A:

Q: fe²x+lnx² sin x² dx = 25-410-312-2 2M 12 e2x cos x² dx

A:

Q: 20. For A. B. C. D. S x1/2 dx and using the substitution u=x1/2, the resulting integral takes the…

A:

Q: Suppose m and n are constants and m‡ n.- Evaluate [sin(mx) cos(nx) dx 1 1 -cos(m-n)x. cos(m+n)x] +C…

A: To find the value of given integral.

Q: Exercises To Solve [No.5] 2 dx 05² зах (2) x²+2x+5 9x²-6x+5 -11

A: Solution is here

Q: Evaluate Stan" (x) sec¹x dx*

A:

Q: 17. Evaluate A. B. C. C 3x4+6x³3x² - 6x x² - 4x 2 x²-2x 2 x² - 4x + In 2 x²-2x-In + In -dx, using…

A: We have to calculate the given indefinite integral according to the given information

Q: 11. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: Follow the procedure given below.

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

A:

Q: Find the area bounded by the curve y= 16 (A) 8 square units (B) 4 square units (C) 10 square units…

A: To find out the bounded area by the curves.

Q: Let f(x) = 8x³ - 4. What is the value of c on the interval [0,2], such that f(c) equals the average…

A:

Q: Question 8 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Solved below.

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2 = 4x about y=4 is…

A: The full solution of the question is given below:

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: dx 3-2x-x2

A: Since, the student has posted multiple questions and mentioned to solve no. 5 but there is no no. 5…