If the substitution u = x/2 is made, the integral given below is equivalent to 1– (;)° -dx =D 1- u? du 1 – u? dpu 2u •2 -2 и Option 1 Option 2 1 – u? du 4u 1- u? du u Option 3 Option 4

Q: Given y = x³ 11 Bac 2³/27x² + 2x, find dy dx H Use the math type b

A:

Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: x+3 dx. 2x -7

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Q: et Evaluate dx using an appropriate substitution. 1+ e2x a

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Q: 1 X x2 – a 2 dx

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Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: dx 4x2 + 9

A: Use substitution.

Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: S 1 dx (2x - 3)²

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Q: 14. Find. V dx 1-2x

A: