Evaluate (26 26* – 12z – 2x? - dx 2 b'x+3x²+3b - x³+6² 2

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: Use the tabular method to evaluate the integral - 2x – 1) cos(4x)dx

A: Introduction: Tabular integration is a technique for quickly integrating many parts in a row. One of…

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Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: Can we evaluate the integral of 1/(x^2+2x)^3/2 dx by using x= sec¿ - 1

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Q: 1. Evalute the improper integral 3x dx. 1+ x2

A: Given: ∫-1∞3x1+x2dxTo evaluate the improper integral:

Q: 4) Use integration by parts to find f x² In 5x dx

A: As per our guidelines we need to solve only one question.please, repost the remaining questions as…

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: 4. Integrate 4 secxtan x+ 1 cosex?x+ 4x dx . Jx 3

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Q: Integrate √2 2 | sin x 2 √1-x² dx

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Q: Integrate (three) of th 1) f sin6x cos3x dx

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Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

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Q: The integration expression sin(3In(x)+ 4)cos(3ln(x)+ 4)dx must be transformed into using suitable…

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Q: 3. sin(3x) = 3s in x – 4sin³ x

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Q: 6. S sin (3x – 1) dx. cos Vi dx. 7. Evaluate th dx. Show yo 8. 3 dx. S (! + 1)(t – 1) dt. 9.

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Q: solve for the intergral of (2sinx)/(1+cos^2x)dx

A: The integral to be evaluated is  ∫2 sinx1+cos2xdx. Here, we can use substitution method to evaluate…

Q: a 5. Using integration by parts twice, prove that the L (sin ax) %3D s2+ a=

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Q: (ii) Show that 1 d (tanh-1 x) = dx 1- x2 Hence, or otherwise, show that, 27 tanh-1x dx =- In 4 2. 1…

A: Evaluate: and

Q: Evaluate the integral. sin (12x) cos (7x)dx | sin (12x) cos (7x)dx =

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Q: O Integrate In 2x dx by using integration by part.

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Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

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Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: Use substitution to find the indefinite integral. 5х +6 -dp- (5x2 + 12x) 3 S- 5x + 6 dx = 3 (5x2 +…

A: Given:Here f(x)=5x+65x2+12x3 To find:we have to find the integral by using substitution

Q: Exercises to solve: 1. fx² In(x + 1) dx 2. (x2 + x – 2).cos4x. dx 3. Se-*sinxdx 4. S sinh2x.cosh5x…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

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Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: what is the integration of x^2/(9-x^2)^3/2 using trigonometric substitution

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Q: cos(9x) -dx COS J 1+ sin²(9x)

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Q: Find the indefinite integral

A: Consider the integral: I=∫sec42x5dx……1

Q: Evaluate the integral. dx JSlx2 - 3 sin 1 33 x + C 3 sec1 |9x - 3| + C sec 1 19 x| +C * sec 13/5 x|…

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Q: Use integration by parts to evaluate /(3x+2) cos (2x)dr.

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Q: (7 – siny)y' = 3x2 + 2x

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Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: Compute the indefinite integral 2. - 4e²² + 6z – 5) 5) dx.

A: We know that integration of ex is ex . And integration of 1/x is lnx. Integration of xn is xn+1/…

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: Use the composite Simpson's rule with step length h=0.5 to determine 1= [ (2x - - 3x2 + 4x – 1)dx,

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Q: Evaluate the double integral. 5 25- х2 dy dx Jo

A: First, integrate with respect to y

Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…