Question

In: Math

Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is...

Calculate the integrals given below using partial fractions:

a) [int] 1/(x^2 - a^2) dx a is a fixed positive real number

b) [int] 1/(x^4 - 1) dx

c) [int] 1/(x^2 + x) dx

d) [int] 1/(x^2 - 4x - 5) dx

e) [int] 1/(x^2 - 3x - 5) dx

f) [int] exp(x) / (exp(4x) - 5exp(2x) + 4) dx

Solutions

Expert Solution


Related Solutions

Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is...
Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is a fixed positive real number b) [int] 1/(x^4 - 1) dx c) [int] 1/(x^2 + x) dx d) [int] 1/(x^2 - 4x - 5) dx e) [int] 1/(x^2 - 3x - 5) dx f) [int] exp(x) / (exp(4x) - 5exp(2x) + 4) dx
Solve the following integrals using integration by parts technique: a) [int] xsinx dx b) [int] x^2sinx...
Solve the following integrals using integration by parts technique: a) [int] xsinx dx b) [int] x^2sinx dx c) [int] xcosx dx d) [int] sin(sqrt(x)) dx e) [int] xexp(x) dx f) [int] x / exp(x) dx
Evaluate the integral using partial fractions. ∫▒( x+3)/((x-9)^2 (x+2))
Evaluate the integral using partial fractions. ∫▒( x+3)/((x-9)^2 (x+2))
Find the integrals of the following: 1) 6sin2xcos3x dx 2) 9xcos2x dx 3) 3cos2xtan3x dx 4)...
Find the integrals of the following: 1) 6sin2xcos3x dx 2) 9xcos2x dx 3) 3cos2xtan3x dx 4) 7cot5xsin4x dx 5) 3tan2xsecx dx
1. Decomose the following fraction into partial fractions (3x)/(5x^(2)-x-6)
1. Decomose the following fraction into partial fractions (3x)/(5x^(2)-x-6)
1) Find the following indefinite integrals.     a) (4-3xsec^2 x)/x dx     b) (5 sin^ 3...
1) Find the following indefinite integrals.     a) (4-3xsec^2 x)/x dx     b) (5 sin^ 3 x ) / (1+cosx)(1-cosx) dx 2) A particle starts from rest and moves along the x-axis from the origin at t = 0 with acceleration        a(t) =   6 - 2t (ms^-2) at time t. When and where will it come to rest.        Remember dvdt = acceleration and dsdt = velocity 3) Use substitution to find the following integrals.     a) (9x)/ sqrt...
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
a.Express y in terms of x given that dy/dx = (y + 2)(2x + 1) given...
a.Express y in terms of x given that dy/dx = (y + 2)(2x + 1) given that y = 2 at x = 0. b. Solve (x^2 + 1)dy/dx + 3xy = 6x. c) Obtain a general solution of dy/dx + y/x = sin x.
integration of ((8(x+a))/(x^2+a^2))dx. using trig. sub.
integration of ((8(x+a))/(x^2+a^2))dx. using trig. sub.
I = ∫sqrt(4x^2+20) dx I = ∫(1)/(x^2*sqrt(x^2-a)) dx
I = ∫sqrt(4x^2+20) dx I = ∫(1)/(x^2*sqrt(x^2-a)) dx
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT