Consider the integral ∫ x2 √ 1 − x2 dx. List the substitution you would use...

Consider the integral ∫ x² √ 1 − x² dx. List the substitution you would use to evaluate this integral. You do not need to evaluate the integral. Just list the substitution you would use to evaluate the integral.

Expert Solution

milcah answered 2 years ago

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...

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?

∫−9ln(x2−1)dx

Use the Theorem of Calculus to calculate int0 1 [x.sin(x2)].dx

Use the Theorem of Calculus to calculateint0 1 [x.sin(x2)].dx

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

Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C...

Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C for the constant of integration.) dx/sqrt(9x^2-16)^3 Evaluate the integral. (Use C for the constant of integration.) 3/(x(x+2)(3x-1))*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?

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

Use integration by parts to evaluate the integral: ∫ cos (ln(6x)) dx

Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to...

Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to approximate the answer with n=4 Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]Δx(keep answer to 6 decimals) b)how large is n in order for the error of Simpsons rule for the given integral is no more than 0.000001 Formula: |Es|=(k)(b-a)^5/(180 n^4), where |f^4(x)≤k| please show all work and steps

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