Find the most general antiderivative. 5 dx √1-x2 X ○ 5 sin-1 x-In |x| +C 5 sin 1 x + 3 In |x| +C sin-1 x In lxl O sin 5 + C 3 O 5 sin1 x-3 In |x| +C

Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

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Q: Evaluate: /sin(/x)dx A 2/x sin(x)-2cos(/x)+C B2/xsin(/x)+2cos(/x)+C 2sin(/x)+2/xcos(/x)+ C D…

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Q: By using integration by parts technique, evaluate: 7x cos x dx O 7x sin x – 7 cos x + C - 7x sin x +…

A: This is a problem of integration. Here we will use the integration by parts concept to solve this…

Q: Show that, cosh-1 x = In (x + /x² – 1)|

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Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Sx²cos(2x)cx Evaluate:

A: This is a problem of integration. Based on the multiplication rule of integration we will solve this…

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Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

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Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Determine the integral J I = 6 x√√x²+4 dx. 1. ln ° ¹. 1 = − 3 lm | √²² + 4 + 2 | + 0 x 1 2. I = In ®…

A: To evaluate the given integral

Q: Solve the equation for X : S² (4t — 9) d t = −4. 4 or 0.5 -4 4 no such X Previous Page Next Page…

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Q: x² - 4 This integral dx evaluates to: x(x² + 1) O a. None of the other answers are correct. O b.…

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: Use integration by parts to evaluate 2x cos (x) dx (A А -x?cos (x) +c B - 2x cos (x) + 2sin (x) +c…

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Q: 1 |Using u-substitution we find that In(2x + 1) dx In?(3) 2x + 1 JO

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Q: a. Let In = strate that exp (nx) sin (exp(x)) dx. By making an appropriate substitution, or…

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Q: 5. Expand: sin (P+ ) cos (P) coS (P) 2 4 cos (P) 1 V3 cos (P) sin (P) + 1 V3 cos (P) - 3 sin (P) +V…

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Q: Which one is an improper integral? O 6 sin(x-5) x-5 S₁º O none O 6 sin(x-5) x-3 O S 6 sin(x-5) x-7…

A: Improper integral:- An improper integral is a definite integral that has either or both limits…

Q: The integral of the given function fan* tan3x dx is Vsecx tan5x tan?x а. 5 + C 3secx tan5x b. tan³x…

A: Given query is to eveluate the integral.