Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7
Last Answer : b) 588.9
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 : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe
Last Answer : d) 6400 π
Description : The regular expression corresponding to the language L where L={x∈{0,1}* | x ends with 1 and does not contain substring 00 } is: (A) (1 + 01)* (10 + 01) (B) (1 + 01)* 01 (C) (1 + 01)* (1 + 01) (D) (10 + 01)* 01
Last Answer : (C) (1 + 01)* (1 + 01)
Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π
Last Answer : c) 75 π
Description : Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π
Last Answer : b) 180π
Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8
Last Answer : c) 588.9
Description : Integral [x^3 + 1]^2 dx = ? I found that it was [(x^3 + 1)^3] / 9x^2, but that is wrong? Details inside.
Last Answer : Expand this using FOIL. You will get three distinct terms and it will be a very easy integral. The answer should be (x^7)/7 + (x^4)/2 + x
Description : What is the integral of xe^(-x) dx?
Last Answer : Sorry, my fingers and toes only go to 20.
Description : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`
Last Answer : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"` A. `(1+x^(4)) ^(1//4)+c` B. `(1-x^(-4))^(1//4) +c` C. `-(1+x^(-4))^(1//4)+c` D.
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(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 : Evaluate :`int_(0)^(8) |x-5|dx`
Last Answer : Evaluate :`int_(0)^(8) |x-5|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((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 : `"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_(-pi//2)^(pi//2) |sin x|dx`
Last Answer : Evaluate :` int_(-pi//2)^(pi//2) |sin x|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: `int1/(x^4-1)dx`
Last Answer : Evaluate: `int1/(x^4-1)dx`
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: `int1/(1+x+x^2+x^3)dx`
Last Answer : Evaluate: `int1/(1+x+x^2+x^3)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: `int1/(x (x^4+1)) dx`
Last Answer : Evaluate: `int1/(x (x^4+1)) 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: `int1/(2x^2-x-1)dx`
Last Answer : Evaluate: `int1/(2x^2-x-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: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : Evaluate: `inte^x(x^2+1)/((x+1)^2) dx`
Last Answer : Evaluate: `inte^x(x^2+1)/((x+1)^2) dx`
Description : Evaluate: `intx^2sqrt(a^6-x^6)dx`
Last Answer : Evaluate: `intx^2sqrt(a^6-x^6)dx`
Description : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Last Answer : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Description : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`
Last Answer : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`
Description : Evaluate: `intxlog(1+x) dx`
Last Answer : Evaluate: `intxlog(1+x) 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: `intcos^(-1)((1-x^2)/(1+x^2)) dx`
Last Answer : Evaluate: `intcos^(-1)((1-x^2)/(1+x^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: `int1/(e^x+e^(-x)) dx`
Last Answer : Evaluate: `int1/(e^x+e^(-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: `int1/(sin(x-a)sin(x-b)) dx`
Last Answer : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`