·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the resulting integral takes the form: -du / -du

Q: Question 21 y dy Find y+2 using the substitution +5= √y+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: Washer Method

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

A: Topic = Integration

Q: QUESTION 4 To evaluate x²cosx dx' use integration by parts. What is the expression after the second…

A: The given integral is: I=∫x2cosxdx   Apply the integration by parts to solve the above integral.…

Q: Question 9 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

A: Solution is here

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)? (A) 3/8 B)…

A: We have to find out value

Q: Question 13 Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) +…

A:

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

A:

Q: Find the area bounded by the trigonometric curves Ⓒ 3.450 square units O 2.828 square units O 1.414…

A:

Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…

A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: A particle is moving with acceleration a(t) = 30t + 8. its position at time t = 0 is s(0) velocity…

A: topic- integration

Q: Suppose m and in are constants and m #n. Evaluate O 1 cos(m-nx-cos(m+n)x]+C 2 m-n 1 2 m-n m+n 1 sin…

A: On solving this we will get Option (4) is correct

Q: A spherical tank of diameter 4 m is half-full of water (weight density=9800 N/m³). Setup the…

A: solution

Q: The integral O cose de 1-sine sec²0 de 1+ tan sece tane de sece - 1 S sine de 1+ cose x dx can be…

A:

Q: The integral ¹S. 01-fese csc ³0 de sin² sin ²0 de = [sec³ sec ³0 de + cos² cos²0 de dx (x²+4)² can…

A: We have to solve Integral

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

A:

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

A:

Q: QUESTION 3 To evaluate x²cosx dx' x’sinx+2x cost – 2 x’sinx − 2x cosx+2 x’sinx – 2x cosx – 2 x’sinx…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: 4 b. [√x ln xdx, 1 4 ㅠ C. fx√4-xdx, d. fx sin (2x) dx. 0

A: Solve the following

Q: Stan"( 1 -tan m+2 -tan m+1 m+1 1 m+3 Evaluate A B Ⓒ D tan" (x) sec¹x dx. (m + -2)(x) + ¹) (x) - 1)…

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: or S- For x1/2 S- S- S- 411 dx and using the substitution -du -du -du 411 √4-(21²) 2 -du the…

A:

Q: Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) +…

A: SOLUTION-

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: To evaluate te use integration by parts. What is the expression after the second integration by…

A:

Q: 3x5 S 3x4+6x³-3x2-6x x²-2x = 2 [ (x-1) 1/6 (x+2) 16/3 (x+1) 1/2 ® [ B x² - 4x 2 x-1) 1/6(x+2) 16/…

A:

Q: Exercises To Solve [NO.5] D "Cosx dx. Sinx+25inx+5 6 3 b

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: Given

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

A: Solved below.

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: 1/2 S x²√1-x²dx. 0

A:

Q: Question 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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

Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

A:

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

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: Given :Region bounded by x2=4y and y2=4xRevolving about y=4

Q: Consider 12-1 S= x-m+ 3x5 3x4+6x33x2 - 6x A B C + x-1 x + 1 x+m (A) 14/3 (B) 17/6 C) 5 6 —+ -dx.…

A:

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: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: ·S- y dy √y+2 using the substitution u +5=√√y+2. A(√3+2-5)(-5√y+2+y+21) +C B (√y+2-5) (5√3+2-y+24)…

A:

Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

A:

Q: Suppose m and n are constants and m #n. Evaluate [sin (mx) cos (nx) dx.

A:

Q: waluate Stan" (x) sec¹x de m 1 m+3 −tan (m+3)(x) + 1 m+2 1 m+1 1 m+1 1 m+1 tan n (m+2)(x) + — tan”…

A: We will evaluate the given integral as shown below

Q: Л 5л nd the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=-. 4 4

A:

Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A: Given:∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method, ∫udv=uv-∫vdu Let…

Q: [sin(mx) cos(nx) dx 9. Suppose m and n are constants and m #n. Evaluate 1 1 -cos(m− n)x+ -cos(m+n)x…

A: Evaluate the integral

Q: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are…

A:

Q: QUESTION 10 Consider O 5 14/3 O 6 O 17/6 3x5 3x4+6x3-3x2 - 6x Sx-m + A+ dx Using the method of…

A: On solving this we will get

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

A: Follow the procedure given below.