a, evaluate the definite integral: 2 to 3 x2/square root of x3-7 dx b, Determine the...

a, evaluate the definite integral: 2 to 3 x²/square root of x³-7 dx

b, Determine the indefnite integral : 12x⁵-5x/x² dx

c, Evaluate the integral : 10x sin (2x+3) dx

d, Evaluate the integral: 1/x² square root of 36-x² dx

Expert Solution

milcah answered 2 years ago

evaluate the indefinite integral. ∫10x2−49x+21/(x−3)(x2−2x−3)dx

Evaluate the integral: ∫√36x^2−49 / x^3 dx (A) Which trig substitution is correct for this integral?...

Evaluate the integral: ∫√36x^2−49 / x^3 dx (A) Which trig substitution is correct for this integral? x=49/36sec(θ) x=7/6sec(θ) x=1/36sec(θ) x=6/7sec(θ) x=7/6sin(θ) (B) Which integral do you obtain after substituting for xx? Note: to enter θθ, type the word theta. (C) What is the value of the above integral in terms of θ? (D) What is the value of the original integral in terms of x? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to...

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.)...

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.) Evaluate the definite integral. Integral from negative 1 to 1 dx∫−1 1 (x^2+1) dx 3.) Evaluate the definite integral. Integral from 0 to 2 dx∫02 (2x^2+x+6) dx 4.) Evaluate the definite integral. Integral from 1 to 4 left dx∫14 (x^3/2+x^1/2−x^−1/2) dx 5.) Evaluate the definite integral. Integral from negative 2 to negative 1 dx∫−2−1 (3x^−4) dx

Consider the definite integral ∫05 ((3x − 1)/(x + 2)) dx a. How large an n...

Consider the definite integral ∫05 ((3x − 1)/(x + 2)) dx a. How large an n do we need to use to approximate the value of the integral to within 0.001 using the Midpoint Rule? b. How large an n do we need to use to approximate the value of the integral to within 0.001 using Simpson’s Rule?

Evaluate the integral (x^3+2x^2-4x+5)/(3x^2+x-10)dx

Write a program to compute the root of the function f(x) = x3 + 2 x2...

Write a program to compute the root of the function f(x) = x3 + 2 x2 + 10 x - 20 by Newton method ( x0 =2 ). Stop computation when the successive values differ by not more than 0.5 * 10-5 . Evaluate f(x) and f '(x) using nested multiplication. The output should contain: (1) A table showing at each step the value of the root , the value of the function,and the error based upon successive approximation values...

Evaluate each integral using trig substitutions 1.) Integral of (3x^5dx)/(sqrt(16-x^2) 2.) Integral of (sqrt(x^2-16)dx)/x 3.) Integral...

Evaluate each integral using trig substitutions 1.) Integral of (3x^5dx)/(sqrt(16-x^2) 2.) Integral of (sqrt(x^2-16)dx)/x 3.) Integral of (6dx)/(16+16x^2)

write a function to determine the square root of a number. The square root of a...

write a function to determine the square root of a number. The square root of a number can be approximated by repeated calculation using the formula NG = 0.5(LG + N/LG) where NG stands for the next guess and LG stands for the last guess. The loop should repeat until the difference between NG and LG is less than 0.00001. Use an initial guess of 1.0. Write a driver program to test your square root function. I WANT THIS PROGRAM...

Evaluate the integral: ∫−14 / x^2√x^2+100 dx (A) Which trig substitution is correct for this integral?...

Evaluate the integral: ∫−14 / x^2√x^2+100 dx (A) Which trig substitution is correct for this integral? x=−14sec(θ) x=100sec(θ) x=10tan(θ) x=100sin(θ) x=10sin(θ) x=100tan(θ) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter θ, type the word theta. (C) What is the value of the above integral in terms of θ? (D) What is the value of the original integral in terms of x?

Evaluate the integral. ∫4−2. (1/(x+5)((x^2)+16)) dx

Question