1/2 xe2x dx D 1/4 None of these 1/16 6/L 1/9

Q: Evaluate. 6 S ( 32 - 9e¹x + 20.1). ge4x dx

A:

Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: find dy dx 3 1- %3= Xナメ+1

A:

Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: J f(x)dx = f(x)dx =7, then J f(x)dx = If 4 and

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Q: Vx³ Inx dx In x dx 1

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Q: 1 In x dx x2 0.

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Q: 1 dx x4 x=D1

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: dy Find if dx )*. 3 y = (2x° + x %3D

A: y=2x3+x4

Q: Find the following. d -[e] =D %3D а. dx d b. dx [e-3] d. с. dx [2e -05=] = _ 0.5x

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Q: S(2-x) In(4x)dx

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Q: 1/7 x In (7x)dx =|

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Q: F(x)

A: Given, ∫0π4sec2x dx = F(x)ab

Q: Find Sea)ax Jf(x)dx if = 56 foR X<to (x fok xZ6 flx): %3D

A:

Q: dy 1 3x2 In(x) + x³ • %3D dx

A: Given:

Q: 4. 5 сos(x-3) dx

A:

Q: (2x+7)2 x 2 dx

A: on diffrentiating this with respect to x we get =2(2x+7)ddx(2x+7)=2(2x+7)×2=4(2x+7)