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 e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Description : `int(3x+1)/(2x^(2)+x-1)dx`
Last Answer : `int(3x+1)/(2x^(2)+x-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: (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: (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 : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Description : `int(4x-3)/(3x^2+2x-5)dx`
Last Answer : `int(4x-3)/(3x^2+2x-5)dx`
Description : `int e^(3x) " cos 2x dx "`
Last Answer : `int e^(3x) " cos 2x dx "`
Description : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
Last Answer : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
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 : `int(1)/(sqrt(x^(2)|3x|d1))dx`
Last Answer : `int(1)/(sqrt(x^(2)|3x|d1))dx`
Description : `int(x^3+3)/(x^3-3x)dx`
Last Answer : `int(x^3+3)/(x^3-3x)dx`
Description : `int(1)/(sqrt2+x-3x)dx`
Last Answer : `int(1)/(sqrt2+x-3x)dx`
Description : `(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "`
Last Answer : `(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "`
Description : `int((3x-2)/(x)+e^(x)) dx`
Last Answer : `int((3x-2)/(x)+e^(x)) dx`
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(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(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 : `int x^n log x dx.`
Last Answer : Evaluate : `int x^n log x 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: `int(1+x+x^2)/(x^2(1+x)) dx`
Last Answer : Evaluate: `int(1+x+x^2)/(x^2(1+x)) 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: `int1/(2x^2-x-1)dx`
Last Answer : Evaluate: `int1/(2x^2-x-1)dx`
Description : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Last Answer : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) 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(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 : `int e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) dx`
Description : `int e^(" sin x "). " sin 2x dx "`
Last Answer : `int e^(" sin x "). " sin 2x 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 : `int(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)dx`
Description : `int(2x^(3))/((x^(2)+1)^(2))dx`
Last Answer : `int(2x^(3))/((x^(2)+1)^(2))dx`
Description : `int(2x-1)/(sqrt(x^(2)-x-1))dx`
Last Answer : `int(2x-1)/(sqrt(x^(2)-x-1))dx`
Description : `int (x^(2))/(1-2x^(3))dx`
Last Answer : `int (x^(2))/(1-2x^(3))dx`