•1 dydx = ?

Q: [" Vsin? 2.x dx = ?

A:

Q: snd dy cothL das for yo Sinh(4x) -

A: Here we have,  y=sinh(4x2)-coth(6x3) ........................... (1)  we have to find,  d5ydx5=?

Q: 5 dx = 4

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Q: 27 dx 100+49e4z

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Q: v= dx %3D

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Q: L[t sinh4ł]=..

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Q: Evaluate

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Q: solve e dy = 2xy +ye* Vet .....

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Q: Vx? +64dx sec ede tan e

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Q: Evaluate 1.S 213x-1 dx

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Q: S tan?2xsec*2x dx

A: Use the trigonometric identity, sec2x=1+tan2x , while simplifying the given integral.   Use the…

Q: 17. 2x√/x dx 18. de xVx S

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Q: Evaluate dx. xVx* +1

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Q: Snd tan Vx 2.

A: This is a case of the integration by substitution

Q: 1 dz

A: The objective is to determine the integral.

Q: -1 dx 21 16

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Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: S sixicosx dx 05

A: Evaluate the integral as follows. Let u = cos x. Then,

Q: dy ー1

A: Given:

Q: Evaluate dx (1+ x)10

A: put 1+x=u so that dx =du and dolve the question .see 2nd and 3rd step.

Q: 3 dx x? + 9

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Q: 4x dx

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Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: dx ex te

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Explain why

A: Given: I=∫−111x3dx≠0

Q: Evaluate. 8. 12e3 dx

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Q: S S dydx

A: we need to evaluate integral of, ∫02∫03y3dydx

Q: cos s 40 d0

A: Let's find.

Q: 2) Se* dx

A: Given: ∫x5exdx

Q: Find (6æ° +3x?) dx

A: We know that integration of xn is -      =   xn+1/n+1. Here i attached solution of this question.

Q: dy 1. dx + 2xy? = 0

A: Method of separation of variables for an ode is to separate the variables in each variables and then…

Q: S:(31² – 4) dx d

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Q: Find 4e" dx my

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Q: 6) S dx

A: We apply substitution rule for solving the integration

Q: 1. dly dx 64XY

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: Уе 00 J0 II ye* dx dy

A: First integration wrt x then y

Q: S cot54x dx

A: ∫cot5(4x) dx Lets apply u- substitution method let u=4xdu=4 dxdx=du4 ∫cot5(4x) dx∫cot5(u)…

Q: -5x 5 dx

A:

Q: Evaluate 1.) S (7 + + 4) dx

A: To evaluate the indefinite integral ∫7+1x3+2x2dx use the below rules and formulas Exponent…

Q: 4 – Vx dx

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Q: S(? + 1) (2x° – 3) dx .

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: 1 -dx (г?) — 4г + 13

A: Here, we need to evaluate the integral ∫1x2-4x+13dx

Q: "dx into an

A: Given Cartesian integral is: ∫-11∫01-x2dydx Then we get the limits of the Cartesian integral as…

Q: S xVx – 1 dx =

A:

Q: Find dzy 9 dx?

A: We will use the formula uv' = u'v+uv' Given y=sinuu=x2ex Then dydu = cos u dudx = 2xex+x2ex We know…

Q: Vã In ev dx

A:

Q: 'V8 + æ°dx

A: Let the indefinite integral be, ∫x28+x3dx Put x3=t. Then, differentiate on both sides gives,…