Evaluate the following integral using trigonometric substitution. a) find the partial decomposition of the integrand b)...

Evaluate the following integral using trigonometric substitution. a) find the partial decomposition of the integrand b) evaluate the indefinite integral

1. 6/x(x^2+2)^2

2. 5/x(x^2+1)^2?

Solutions

Expert Solution

comment if you need further clarification!

milcah answered 1 year ago

Next > < Previous

Related Solutions

Evaluate the following integrals using trigonometric identities (a) intergal sin6 x cos3 x dx (b) Z...

Evaluate the following integrals using trigonometric identities (a) intergal sin6 x cos3 x dx (b) Z π/2 o cos5 x dx (c) Z sin3 ( √ x) √ x dx (d) Z tsin2 t dt (e) Z tan2 θ sec4 θ dθ (f) Z x sec x tan x dx

Evaluate the integral using partial fractions. ∫▒( x+3)/((x-9)^2 (x+2))

Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant...

Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant of integration.) x sqrt 36 + x2 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...

For each of the following integrals find an appropriate trigonometric substitution of the form x=f(t)x=f(t) to...

For each of the following integrals find an appropriate trigonometric substitution of the form x=f(t)x=f(t) to simplify the integral. the inteagral a) ∫x(3x^2+30x+73)^(1/2)dx b)∫x/(−25−3x^2+18x)^(1/2)dx

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?

A. Find the indefinite integral. B. Find the indefinite integral. C. Find the derivative. f(x) =...

A. Find the indefinite integral. B. Find the indefinite integral. C. Find the derivative. f(x) = x6 · log3(x) Give your answer using the form below. xA(B + C logD(x)) A = B = C = D = D. Find the indefinite integral. E. Find the area under the curve below from x = 1 to x = 2. Give your answer correct to 3 decimal places. F. Find the area under the curve below from x = 0 to...

Question