Question The function f(x) = 3-13 + x| is graphed below. Use geometric formulas to evaluate the following definite integral. Enter an exact answer. -8 T -7 0 Lo-B. ta -6 -5 -4 -3 -2 (33+x) dx -1 8 7 6 5 4 3 2 1 0 -1 -2 -3- -5- -6 1 2 3 + 4 5 6 7

Q: 2x² - 19x - 27 √ - (x + 1)²(x - 5) dx

A: Given: ∫2x2-19x-27x+12x-5dx

Q: For the function f(x) shown below, find the definite integralſ f(x) dx. f(x) 6 4 2 0 -2 N ∞0. 2

A: A graph of the function  is given.The aim is to find the value of .

Q: I + 5 dx x3 – x Evaluate

A:

Q: In x

A: detailed solution with explanation is given below

Q: | 4.0°e-9* 4x³e-9a* dx

A:

Q: y = = 015 4. -2 13/ X

A: Given y=6x4,y=-2x3 The objective is to find the derivative of given functions.

Q: Write an equation for a quadratic func 1 and shifted up 9 uni 5' by a factor of O f(z) = 9+ 5(- x)…

A: Graph

Q: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: 1/2 dx 2 -1/21-x

A: We will solve the problem

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: F(X)=(X-4)2/5 F(x =2/5 (x-4)2/5-1

Q: (21+3)/3 5 dx Evaluate 50+ x-14x 2

A:

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: x²+5x-8 Evaluate f

A:

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…