If f(x) = A B C -S sec²x D tanx l+et sec 3x √1+1² 1+e' 1+e lanx -dt, then f'(x) equals tanx 1+e In (secx)√1+tan²x 1+e 1+tan²x

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

A: To solve the integral.

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

A: Now,The graph of the area bounded by f(x)=ex, g(x)=e-x and x=3 is shown below:

Q: Question 16 d If g(x) = == S[e²-In (21+1) ]dt, find g(x). dx 4 A et + (2x+1)2 e* -In(2x+1) 4 e¹+ (2x…

A: We will first find g(x).

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

A:

Q: Transforming S Ⓒ / ² A 1-z² 1+z² ® / 12-2 B 1+z² © Ⓒ S ²¹²+² dz 1-z2 1+z² D S 1-z² dx secx + 1 -dz -…

A:

Q: dx (x+1) log(x+ ) In[log(x+1)] + og² (x+1) + C

A: We have to choose the correct option from the given options

Q: Evaluate the triple integral: A) 6 B) 18 C) 24 D) 12 3 2 1 ²³√ [²√ √ 0 (x+y+z)dydxdz

A:

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

A: A option is correct.

Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: A detailed solution is given below

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

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Q: [_²_f(x) dx = 0 and [ f(x)dx = 11₁ Given 6 A 0 B C D 11 5 11 6 55 6 evaluate 1 [²3f(x) dx - √₁2 f(x)…

A:

Q: If g (x): A d dx [e' — In(2t+1)]dt, find g''(x) - -2 4 (2x + 1)² 4 B (2x+1)² Ⓒe*-In(2x+1) 2 D (2x +…

A:

Q: y = x²sin (3x)

A:

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

A: We need to find volume.

Q: If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined the a. a shifting theorem can…

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Q: ion 8 apply General Power Formula of Integration on which of the following sinhucothudu cosha coshu…

A: We have to choose the correct option from the given options

Q: (x+1)x (x+2)(x-1)² If f @ 1/1 1/1/0 93 B C D 9 . - 2 3 2 9 3 - 2/3 . 93 A B 421 + + x+2 C (5-131].…

A: Explained below

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ A infinitely many B may…

A: We have to choose correct option

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83 (A) -unit3 125 83л (B) -unit³ 135…

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Q: Transforming S Ⓒ √ 2²-22²2 =2 A -dz 1+z² z²+z B -dz 1- © S с © S D N dx using miscellaneous…

A:

Q: S₁² = P² 1 хо A (-∞,1] B {0,1} с (1,00) D (-∞0,00) Given dx, determine all value/values of P for…

A: Here we have to determine all values of p in which the given improper integral is converges.

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

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 Ⓡuni B 1 Ⓒ / unit² Ⓒ / unit² -unit²

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Q: dx xy+3x-y-3 dy xy-2x+4y-8

A:

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: 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 integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

A:

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

A:

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

A:

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

A:

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

A: Topic:- application of integration

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

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Q: Determine the general parametric solution of the following unsolved differential equations for the…

A: See the details solution in below

Q: Determine the area bounded by f(x)=x²-x and x-axis. A unit² -unit2 unit² |+ B 2 © ½ u Ⓒ / unit ² D…

A: Let's find area of given curve.

Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A of th (A) cos²0d0 [*/ cos²0de Ⓒ…

A:

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ unit² ® -unit² Ⓒ unit² 3…

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Q: To evaluate the integral sin³0cos0de by trigonometric transformation, we use the identity; A sin²0=…

A:

Q: e the triple integral: (x+y+z)dydxdz 6 24 18 12

A: Topic :- application of integration

Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: e integral: J √√√x+x F1+x X + C 1 x C 5 + C 6in|5+ x² +C 6

A:

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

A: Washer method

Q: 1 √√√√x + x S Solve the integral: A m/1+x³²|+c C {/in/1+x²³ | +c B © 6in/5+x³³| +C Ⓒ √I/1 .…

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Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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Q: A street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- A street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward…

Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- A In(cosh x + e*) B sinh x + ex…

A: To find integrand the steps are as follows.

Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.

Q: A bullet is fired with muzzle velocity of 150 m/s at an angle of elevation = 45°. Gravity = 9.8…

A: Since you have posted a question having multiple sub part as per guidelines we can solve only first…

Q: If (x+1) dx (x+2)(x-1)² 1 93 2 93 S- A B D -io 1 W|N -io 2|3 2|3 9 3 A x+2 + B + x-1 C (x-1)² (x -…

A: