5. /2хе-2х dx

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: 1. Evaluate (i) dy dx, 3

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Q: 1. (4 - y?)dy dx

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

Q: S cFinz (Inz + 1)dz

A: Given: 7. ∫azlnzlnz+1dz To Find: To evaluate the given integration.

Q: -п/8 S sec? (2x)dx

A: We have to evaluate the definite integral: ∫0π8sec22xdx Assuming, t=2x Then definite limit will also…

Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: d VE evedt dx d -S Intdt dx 1

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Q: Compute the exact value. 2 dx 2.

A: Simplify the given integral using limits.

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: dx |

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Q: 2. dy + ycotx = 1 dx

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Q: Sxe* dx

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: What is the value of , x(x + 1)+ dx ?

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Q: sinh ot + cos ot

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Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

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Q: xe dx

A: In the given question we have to solve the integral s.t ∫xexdx. we will solve the indefinite…

Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Compute the following. LA dx Jx12/7-26x-dx

A: to findI=∫12x127-26x-4dx

Q: Use an appropriate substitution to integrate Jaco 24xcos (x²-2) dx

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Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: Integrate da + C

A: Integrate by using formula.

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

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Q: x² dx 4

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Q: ex/Eveiluene the fallowing integrels 21/dx XInx

A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

Q: to of 3g dx Be

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Q: Integrate: dx

A: By substitution method, integration of function is solved step by step .

Q: find dy/dx by implicit differentiation 5x4/5 + 10y6/5 = 15

A: The equation is 5x4/5+10y6/5=15.   Differentiate it with respect to x.…

Q: et dx 5-e

A: Given integral is

Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: Integrate: S dx

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Q: dy 5. х dx - (1 + х)у %— ху?

A: The methods and formulas to find the solution of the Bernoulli equation help to find the required…

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: dx Vsinxcos3x

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Q: Evaluate 1 dx, x = 0, x = 1 1- x

A: Using beta and gamma function.

Q: dx (メ+)

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Q: Find dx of

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Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: 7. dx * = + 2 dy Lal

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Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

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Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

Q: -2 dx 0 (3+x)² 2

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Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

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

Q: Integrate: Sx e* dx.

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Q: dx J Tx2 – 25

A: