Description : `int1/(1+3e^x+2e^(2x))dx`
Last Answer : `int1/(1+3e^x+2e^(2x))dx`
Description : Evaluate: `int1/(2x^2-x-1)dx`
Last Answer : Evaluate: `int1/(2x^2-x-1)dx`
Description : `int1/(cos^2x(1-tanx)^2) dx`
Last Answer : `int1/(cos^2x(1-tanx)^2) dx`
Description : `int1/(x(x^n+1))dx`
Last Answer : `int1/(x(x^n+1))dx` A. `(1)/(n) log {x^(n) (x^(n) +1))} +c` B. `log ((x^(n))/(x^(n)+1)))+c` C. None of the above D.
Description : Evaluate: `int1/(x^4-1)dx`
Last Answer : Evaluate: `int1/(x^4-1)dx`
Description : Evaluate: `int1/(1+x+x^2+x^3)dx`
Last Answer : Evaluate: `int1/(1+x+x^2+x^3)dx`
Description : Evaluate: `int1/(x (x^4+1)) dx`
Last Answer : Evaluate: `int1/(x (x^4+1)) dx`
Description : Evaluate: (i) `int1/(a^2-b^2 x^2) dx` (ii) `int1/(a^2 x^2-b^2) dx`
Last Answer : Evaluate: (i) `int1/(a^2-b^2 x^2) dx` (ii) `int1/(a^2 x^2-b^2) dx`
Description : Evaluate: `int1/(e^x+e^(-x)) dx`
Last Answer : Evaluate: `int1/(e^x+e^(-x)) dx`
Description : `int1/(x^2(x^4+1)^(3/4))dx`
Last Answer : `int1/(x^2(x^4+1)^(3/4))dx`
Description : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`
Last Answer : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`
Description : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Last Answer : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Description : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Last Answer : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Description : Evaluate: `int1/(2+cosx) dx`
Last Answer : Evaluate: `int1/(2+cosx) dx`
Description : Evaluate: `int1/(13+3cosx+4sinx)dx`
Last Answer : Evaluate: `int1/(13+3cosx+4sinx)dx`
Description : Evaluate: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`
Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`
Description : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Last Answer : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Description : Evaluate : `int1/(1+cos tx)dx`
Last Answer : Evaluate : `int1/(1+cos tx)dx`
Description : `int_(1)^(5) (x^(2) -2x) dx`
Last Answer : `int_(1)^(5) (x^(2) -2x) dx`
Description : `intsqrt(5-2x+x^(2))dx`
Last Answer : `intsqrt(5-2x+x^(2))dx`
Description : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))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 : `int(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)dx`
Description : `int (x^(2) +2x -5)/(sqrt(x))dx`
Last Answer : `int (x^(2) +2x -5)/(sqrt(x))dx`
Description : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is
Last Answer : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is A. 1 B. `-1` C. 0 D. 2
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 : `int_(0)^(1) (1)/(x^(2) +2x+3)dx`
Last Answer : `int_(0)^(1) (1)/(x^(2) +2x+3)dx`
Description : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`
Last Answer : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`
Description : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`
Last Answer : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`
Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Description : `int_(0)^(1) (1)/(1+x+2x^(2))dx`
Last Answer : `int_(0)^(1) (1)/(1+x+2x^(2))dx`
Description : `int(x^(2)+1)/(x^(4)-2x^(2)+1)dx`
Last Answer : `int(x^(2)+1)/(x^(4)-2x^(2)+1)dx`
Description : `int(x+1)/(sqrt(2x^(2)+x-3))dx`
Last Answer : `int(x+1)/(sqrt(2x^(2)+x-3))dx`
Description : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Last Answer : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Description : `int(3x+1)/(2x^(2)+x-1)dx`
Last Answer : `int(3x+1)/(2x^(2)+x-1)dx`
Description : `int(1)/(2x^(2)+x+1)dx`
Last Answer : `int(1)/(2x^(2)+x+1)dx`
Description : `int (x)/(x^(2)+2x+1)dx`
Last Answer : `int (x)/(x^(2)+2x+1)dx`
Description : `int (2x+3)/((x+2)(x-2))dx`
Last Answer : `int (2x+3)/((x+2)(x-2))dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : `int e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) dx`
Description : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Last Answer : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Description : `int e^(" sin x "). " sin 2x dx "`
Last Answer : `int e^(" sin x "). " sin 2x dx "`
Description : `intsin^(- 1)((2x)/(1+x^2))dx`
Last Answer : `intsin^(- 1)((2x)/(1+x^2))dx`
Description : `(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " x dx "`
Last Answer : `(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " 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 : `int(2x^(3))/((x^(2)+1)^(2))dx`
Last Answer : `int(2x^(3))/((x^(2)+1)^(2))dx`