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- (a) Find the MacLaurin polynomial of degree 9 for the function h(x) = ln(1 + x3).(b) Use you answer to (a) to approximate∫ln(1 + x3) dx. integrate from 0 to 0.5If g(x)= ((x^2)-4)/(-x-3) and h(x)= g(x), evaluate (integral^-4 with an index of -5) h(x) dx Answer options are 1. -9 2. 6 3. 45/2 4. 3/2 5. 2∫_1^3 (16-x2)dx is a definite integral. Determine function f(x).
- 6.4.24. Evaluate the integral. integrate ((1)/(x^3-1)) I've managed to get here so far managed to find A and C but can't figure out how to find B please show me how to find B in the same manner I used to find the others and if there IS an easier way please let me knowa. Evaluate the integral ∫ (4x2 + 2x -1) / (x3 +x2) dx b. Evaluate the integral ∫ x3 / 4(4+x2)1/211.3_2 Can you please help with a step by step guide? Thank you very much in advance. Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.) ∫e3x − 4 dx
- (a) Write out the MacLaurin polynomial of degree 12 of the functionh(x) = cos(x2).(b) Use you answer to 4(a) to approximate the definite integralcos(x2) dx. from 0 to 0.6.4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite integral. 7) ∫x√1-x2 dxFind the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln x
- Find the absolute maximum and minimum values of ƒ(x) =10x (2 - ln x) on the interval [1, e2 ]13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of -1 that occurs at x=11.Here are the choices:- square root of (x-1)- 126 units- x-1- integral of square root of (1+squareroot of (x-1)) dx with the limits from 9 to 36- 189 units- integral of square root of (1+squareroot of (x-1) squared) dx with the limits from 9 to 36P.S no need for solutions