Evaluate and simplify the following expression. d rcos(x) dx. ex /t3 +1dt

Q: Find the value of x. J 31 N (9x +23) M 7.

A: Answer

Q: Simplify the following expression. x2 dt dx ,2 + 19

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Q: Find the G.S. the DE Q =

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Q: Simplify the following expression. x2 dt dx 2+16

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Q: Find the value So X (x²+1)= dx

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Q: Determine the following: L  7/2e2x dx

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Q: Determine the following: L (x - 2x2 + 1/3x) dx

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Q: Simplify the following expression. x2 dt 2 +6 dx

A: ∫0x2dtt2+6Apply Integral Substitution: t=6u=>dtdu=6=> dt=6duAdjust integral boundaries:t=0  ⇒…

Q: If F(0) = 2 and F(5) = 5, then F'(x) dx =? 05 3 O

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Q: x? dx (1+x²)? Evaluate

A: the given integral is: ∫-∞∞x21+x22dx we have to evaluate the given integral.   let the given…

Q: Q1- Answer only two 2. Evaluate (x + 2)-5e-(x+2) dx.

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Q: .3 dx S (x4+ 16)' 2

A: This question is based on indefinite integral.

Q: Evaluate the following. Show your solution 1. S5V dx. 3x² – 2x + 1 dr. 2. 3. SxV3x dx. SxV3x dx.

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Q: Evaluate the following, 8 [? + 3) e-2* dx, and write your answer in the form g(x) e¯2x + C.

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Q: Find the value of y + z. 20 cm 26 cm 21 Q Zoom A 49.3 cm B 52.1 cm 100 cm None of these 54 cm 24.3…

A: Here given that a right angle triangle and we have to find the value of y+z .

Q: Evaluate the expression. dx x--1

A: We have to evaluate the expressions at the given points.

Q: dx 4x

A: Given query is to find the value of the integral.

Q: Evaluate: d/dx [(x/7) + 7]

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Q: dx What is the value of -1

A: To Find: The value of ∫-11dyy∫1eydxx

Q: Find the following

A: Given,  ∫12x+52dxFormula→∫xndx=xn+1n+1,  n≠1

Q: Find the following

A: To evaluate: ∫12x4dx Solution: Given integral is: ∫12x4dx On simplifying further we get:…

Q: 3 X dx V16 – x? 16— х*

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Q: Simplify the following expression. d (6t² +t+ 5) dt dx 6 d (6? +t+ 5) dt = | dx 6

A: Given, ddx∫6x6t2+t+5dt First integrating.…

Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Calculate the following i S2x(x² + 4}°dx 13

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: d 2 + 3x dx

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Q: (eJ ·csc y csc²x) dx = 0 ||

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Q: dx x (1+a2)

A: As per our guidelines only one question can be solved. Please find the solution for 1st question…

Q: Q7. Evaluate the following: (x+3)dx -5 -2

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Q: Simplify the following expression. x2 d dt dx 2 t + 18 d. dt dx t + 18 II

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Q: dx S- 100x – 1

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Q: dx 4. [(x-1)2+1]2

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Q: х + 3x + 4 dx

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Q: dx T16 + x? Evaluate 2

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Q: x? 2. dx x? +9

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Q: Simplify the following expression. dt dx 2 +4 dt dx 12 + 4

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Q: y = h(x) 17

A: Now,

Q: (4) [xsec? x dx

A: 4- Given- ∫xsec2x dx To Find- The value of the above integral. Identity Used- Using the by part…

Q: -x Dx 2-x

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Q: Q+5x)e dx

A: To evaluate the given integral.∫2+5x ex3 dx

Q: dx xVT -x? 1 x

A: We have to evaluate the integrals: ∫dxx21-x2 Let I=∫dxx21-x2 Taking x2 common from square root,…

Q: Evaluate (-x + 4x – 3) dx using each of the following values. 26 x² dx x dx = 4, dx = 2 3'

A: Given: ∫13x2 dx = 263 ∫13x dx = 4 ∫13 dx = 2 ∫13-x2+4x-3 dx = ?

Q: Rewrite the following equation with the variables separated. dy = 4 2x + bY da

A: Given differential equation is  2x3+6ydydx=4 To find: Rewrite the equation with the variables…

Q: Evaluate the following: 1. S(x3+ 3x?)dx

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Q: dx. 2 V3x – 2x

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Q: Sx tas?x dx

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Q: Simplify the following expression. (10t +t+7) dt dx |(101? ++7) dt=D dx

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Q: 3 4 2x + /x | dx .

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Q: dx 2 x² +k? Evaluate

A: Given: I=∫x-ax2+k2dx So, we can also write as; I=∫x-ax2+k2dx=∫xx2+k2-ax2+k2dx=∫xx2+k2dx-a∫1x2+k2dx…