Q: Given the integral [sec (x - 1) tan4 (x − 1)dx, which of the following equations will be useful for…
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Q: Evaluate the triple integral: A) 12 B) 6 C) 24 D) 18 3 2 1 (x+y+z)dydxdz
A: We have to choose correct option
Q: +3x-4)³ (4x+3)dx + C Solve the integral: Seln(2x²+3 (2x²+3x+4)*(4) A 3 (2x²+3x+4)4 4 eln(2x²+3x-4)³…
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Q: Question 13 3 2 Evaluate the triple integral: f(x+y+z)dydxdz A) 24 B) 18 C) 6 D) 12
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Q: If $S₁ A B (x+1) dx (x+2)(x−1)² 9 3 D -la 1 9 I -ja 2 3 2 93 12 93 ==√ [= ²4/2+1 B x-1 C (x-1)² ]dx…
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Q: S D dx (x+1) log(x+1) In[log(x+1)] + C Evaluate: A In 10 ® -log B log² (x + 1) + C In 10…
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Q: the work required to stretch the spring an additional 3 ft. 24 foot-pounds 33 foot-pounds 30…
A: Topic :- calculus
Q: Determine the integral: x²cosxdx A x²sinx+2xcosx + 2 sinx + C B x²sinx-2xcosx-2sinx + C C)…
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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 1 Evaluate:…
A: To solve the following problem
Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. A (e³-1)² e3 sq. units B (e³+ 1)² e3 (e²+ 1)²…
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Q: 4 Evaluate the double integral: 2ydydx 1 A B (ⒸⒸC) D m 100 8 +10 9 2 5 2
A: On solving this we will get Option (C) is correct
Q: Which of the following represents the volume of the solid generated by revolving the region bounded…
A: Let's find volume of solid when curve rotated about x axis.
Q: The improper integral A B if the 0 1 0 e dx is
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Q: Evaluate the integral: Se3+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 - + C (3e)3 + cosh2x B…
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Q: Find the area bounded by : f (x) =e*, g(x)=e¯* and x=3. A (e²-1)² e² sq. units (e³-1)² e3 sq. units…
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Q: The improper integral A e B C) O D 1 if the 0 ∞ ex dx is
A: Solve the integration From 0 to ♾️ for the integrand e-x.
Q: If (A) (В (D (x + 1) dx (x+2)(x-1)² -ja دا | در 93 1 —— 9 9 . 3 2 3 x + 2 ++ x-1 (x-1)2 dx, the…
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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: 1. ²₂(x² − 2xy² + y²³) dx dy
A: Solve the following integration .
Q: 2x ind the derivative of: 2e cos(8x). [Hint: use product rule and chain rule!] se e^x for e*. ow,…
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Q: X √√x dx Solve the integral: (A) 3 B + C 6 с 6√√x +C D 3√√√x² +C
A: To integrate the following problem
Q: sinh x tex cosh x + ex In the indefinite Integral in(cosh x + e*)- sinh x + ex A cosh x + ex sinh x…
A: In this question, we want to know the integrand of the given Integral.
Q: 14. Evaluate [4³x dx 3x O 4³x 3x +C 6ln2 O 4³x In4 O 43x+1 3x+1 +C O None of these +C
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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: 1 √√√√√x+x X Solve the integral: S- @ =√² m/1 + x ²³ / + c A C (1) 6in/5+ x ³²³| +C B © ²/³ m/1 + x…
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Q: Evaluate the triple integral: A) 12 B) 24 C) 6 D) 18 3 2 (x+y+z)dydxdz
A: To evaluate the given triple integral.
Q: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…
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Q: Given √√2/10 dx, determine all value/values of P for which the improp хр onverges? A) {0,1} B)…
A: Topic:- application of integration
Q: Question 25 x + 2 Determine the case of the following proper rational function after simplification:…
A: We have to determine proper rational functions and choose correct options
Q: Evaluate the double integral: A B NIG 5 3 m|p 99 In +10 2ydydx
A: To solve the following double integral
Q: e the triple integral: (x+y+z)dydxdz 6 24 18 12
A: Topic :- application of integration
Q: Evaluate the double integral: 2ydydx A 4 9 B) m 100 8 NIG 2 9 2
A: To find the value of given double integral.
Q: Q/IF 3 = sin(x) 0²³²141 y= (4) y = 3/2 I sin(x) cos(x) Prove that
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Q: y = 5 tan x³ + sec(3x)
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Q: In the indefinite Integral in(cosh x + e*)- integrand? A sinh x + ex B In(cosh x + e*) In(cosh x +…
A: What is the integrand
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…
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Q: dx Evaluate the integral: (+3x-7) A ++ In|3x-6|+C 5 +5x+! In/x-21 +C B 3 с +5x+31n|x-2|+C D x² + 5x…
A: You must have idea about logarithmic properties to simplify this expression. Understanding of…
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: 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: Determine the area bounded by the functions f(x) = (x + 1)³ and 1 A -unit² 3 B -unit² 3 -unit² 4 1…
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Q: 1 11 Given 1 [²_f(x) dx = 0 and [ f(x) dx = 1 1 ₁ ¹3f(x) dx - 2f(x)dx. evaluate 6 0 -1 55 A 6 11 B 5…
A: A detailed solution is given below.
Q: 1 Solve the integral: J 3 x + x 5 6 x In|1+ A +C + C Shi+x+c 6 1+ C 5 1+x8 +c +C B C 516 In|1+ - dx
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Q: If f(x) = A B C D tanx S 0 1+tan²x 1+1² Ite' -dt, then f'(x) equals 1+ e tanx In (secx)√√1+tan²x…
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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: 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: dx xy+3x-y-3 dy xy-2x+4y-8
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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: Which of the following represents the volume of the solid generated by revolving the region bounded…
A: the line y=x-1and y=(x-1)3 intersect in the points (0,-1),(1,0) and (2,1) the line y=x-1 is below…
Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…
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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…
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