In x dx 19.

Q: Evaluate the integral. Please refer to image.

A: Obtain curl F as follows.

Q: S(4x – 1)dx

A: ∫4x-1 dx

Q: In (14x) - dx =

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Q: ZV3 dxdydz X +z

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Q: Find the volume of the region = {(x, y, 2) : æ² + y² – 3 < z< V9 – a² – y²} E - -

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Q: = 2* and the chord joining the poin Ans. 5- 3/n Find the area between the curve y (0,1) and (2,4).…

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Q: Consider the functions below. F(x, y) = eX - 1 i + xy j r(t) = t4 i + t3 j (a) Evaluate the line…

A: Given Fx,y=ex−1i^+xyj^ and r→t=t4i^+t3j^ We have to calculate the line integral ∫CF→⋅dr→, where C is…

Q: Write some important things about integral calculus

A: Given: The important thing about Integral Calculus:

Q: I = c2π sin² 0 0 5 + 3 cos 0 dᎾ .

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Q: What does the integral sign represent?

A: Consider  ∫f(x) dx

Q: Using the fact that n(n+1) a. E i = 2 n(n+1)(2n+1) b. E-1i? = n?(n+1)? c. Li=1 E13 : 4 Use the…

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Q: 2a 12²0 So 0 0 2ax-x² dydx

A: Given: I=∫02a∫02ax-x2dydx For evaluating given integral need to use formulas mentioned below…

Q: İntegral?

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Q: 1 dx 1 (x+2)5/4 1

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Q: +1 dx xe -3

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Q: 70. S tan-1 x dx 1+x²

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Q: Find the area of the region enclosed by these graphs and the vertical lines x = 1 and x = 4. 50.5 X…

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Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: Define and explain integral and its properties briefly

A: Explanation of the answer is as follows

Q: Jsing the integral definition, calculate the integral.

A: The integration of ∫abxndx is equal to: ∫abxndx=bn+1-an+1n+1