Consider the following. f(x) = 25 25 20 15 10 g(x)=x² 5 X -4 -2 2 4 6 i (a) Form the integral that represents the area of the shaded region. 5 dx JO X (b) Find the area of the region. (Give an exact answer. Do not round.) X (5, 25)

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: :2 ¡dx 4

A:

Q: dx 6. 4+ 5сosx

A:

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: 3x? dx 2 + 4x

A:

Q: r1 (1 – 2x)2 dx

A:

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

A:

Q: 6 x V1+2x dx 20 15 25 13 30

A: Consider: ∫046x1+2xdx. Let v=1+2x  Implies v2=1+2xv2-12=x When x=0 implies v=1+20=1 and when x=4…

Q: Integrate the function. dx x/49x² – 4

A:

Q: .2 dx 6. (x-1)3

A:

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: V25x² – 4 dx 8.

A:

Q: dx 4. 4 Vx + Vx3

A:

Q: 2x9 21. Evaluate ſ dx 1+x10

A:

Q: 1 dx Va? – 6x + 34 Find -

A:

Q: Find. (x²+1)3 2x dx

A:

Q: 2 dx Evaluate J xvx4 + 25

A:

Q: (2x-3)4 dx 10

A: Given:The integral is

Q: xp (1 +x) *+1 dx= 3. Evaluate.

A:

Q: dx 12 · S V5 – 4x² + 4x

A: