Description : `(i) (log x. sin[1+(log x)^(2)])/(x) dx` `(ii) int(dx)/(x(1+log)^(n))`
Last Answer : `(i) (log x. sin[1+(log x)^(2)])/(x) dx` `(ii) int(dx)/(x(1+log)^(n))`
Description : Evaluate: `int((x-1)e^x)/((x+1)^3)dx`
Last Answer : Evaluate: `int((x-1)e^x)/((x+1)^3)dx` A. `(e^(x))/((x+1)^(2))+c` B. `(e^(x))/((x+1)^(3))+c` C. `(e^(x))/((x+1)^(4))+c` D.
Description : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Last Answer : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Description : Evaluate: `int(x^2+4)/(x^4+16)dx`
Last Answer : Evaluate: `int(x^2+4)/(x^4+16)dx`
Description : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Last Answer : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Description : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Last Answer : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Description : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Last Answer : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Description : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Last Answer : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Description : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Last Answer : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Description : Evaluate: `int(x^2+1)/(x^2-1) dx`
Last Answer : Evaluate: `int(x^2+1)/(x^2-1) dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Last Answer : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Description : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Last Answer : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Description : Evaluate `int sin^(-1)x dx`.
Last Answer : Evaluate `int sin^(-1)x dx`.
Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) dx`
Description : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Last Answer : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Description : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Last Answer : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Description : Evaluate: `int(1+x+x^2)/(x^2(1+x)) dx`
Last Answer : Evaluate: `int(1+x+x^2)/(x^2(1+x)) dx`
Description : `int log (x^(2) +a^(2)) dx=?`
Last Answer : `int log (x^(2) +a^(2)) dx=?` A. `x log (x^(2)+a^(2)) -2x +2a tan^(-1).(x)/(a)+c` B. `x log ... 2x -2a tan^(-1) . (x)/(a) +c` C. None of the above D.
Description : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Last Answer : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Description : `int " log sin x . sec"^(2) " x dx "`
Last Answer : `int " log sin x . sec"^(2) " x dx "`
Description : `int " log"_(e) " x dx "`
Last Answer : `int " log"_(e) " x dx "`
Description : `int(tan(1+log x))/(x) dx`
Last Answer : `int(tan(1+log x))/(x) dx`
Description : (i) `int(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`
Last Answer : (i) `int(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`
Description : `int(cos^(2) (log .x))/(x)dx`
Last Answer : `int(cos^(2) (log .x))/(x)dx`
Description : `int secx. log (sec x+ tan x ) dx `
Last Answer : `int secx. log (sec x+ tan x ) dx `
Description : `int((log _(e)x)^(3))/(x)dx`
Last Answer : `int((log _(e)x)^(3))/(x)dx`
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : Evaluate `int(1)/(1+sinx)dx`.
Last Answer : Evaluate `int(1)/(1+sinx)dx`.
Description : Find `int[log(logx)+1/((logx)^2)]dx`
Last Answer : Find `int[log(logx)+1/((logx)^2)]dx`
Description : `int(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)dx`
Description : `int((a+bsin^(-1)x)^(n))/(sqrt(1-x^(2)))dx`
Last Answer : `int((a+bsin^(-1)x)^(n))/(sqrt(1-x^(2)))dx`
Description : Evaluate: `int(a x+b)^3dx`
Last Answer : Evaluate: `int(a x+b)^3dx`
Description : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Last Answer : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Description : Evaluate : `int_(0)^(1) (1-x)^(3//2) dx`
Last Answer : Evaluate : `int_(0)^(1) (1-x)^(3//2) dx`
Description : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Last Answer : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Description : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`
Last Answer : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`
Description : Evaluate :`int_(0)^(8) |x-5|dx`
Last Answer : Evaluate :`int_(0)^(8) |x-5|dx`
Description : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`
Last Answer : Evaluate :` int_(-pi//2)^(pi//2) |sin x|dx`
Description : Evaluate : `int_(0)^(4) x(4-x)^(3//2)dx`
Last Answer : Evaluate : `int_(0)^(4) x(4-x)^(3//2)dx`
Description : Evaluate: `int_1^2 1/((x+1)(x+2))dx` (ii) `int_1^2 1/(x(1+x^2))dx`
Last Answer : Evaluate: `int_1^2 1/((x+1)(x+2))dx` (ii) `int_1^2 1/(x(1+x^2))dx`
Description : Evaluate the following integral: `int_1^3(cos(logx))/x dx`
Last Answer : Evaluate the following integral: `int_1^3(cos(logx))/x dx`
Description : Evaluate: `int1/(x^4-1)dx`
Last Answer : Evaluate: `int1/(x^4-1)dx`