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Integrate the rational function 2x/(x²+3x+2) .

Integrate the function (2cosx - 3sinx)/(6cosx + 4sinx) .

By using elementary operations, find the inverse of the matrix A = [R1 2 -6 & R2 1 -2]

Integrate the function x(logx)² .

Integrate the function xe^(x)/(1+x)² .

Integrate the function xcos^-1(x) .

Integrate the function tan^-1(x) .

Find the maximum value of 2x³ - 24x + 107 in the interval [1,3]. Find the maximum value of the same

Find integration of the function x²-x as the limit 1 to 4 of a sum.

Find integration of the function x+1 as the limit 0 to 5 of a sum .

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus

Integrate the function x²e^x³ equals (A)1/3.e^x³ + c (B)1/3.e^x² + c (C)1/2.e^x³ + c (D)1/2.e^x² + c

Integrate the function √(x²+4x+6) .

Integrate the function e^x((1+sinx)/(1+cosx)) .

Integrate the rational function 2x/(x²+3x+2) .

Integrate the function (x - 3)e^x/(x - 1)³.

Integrate the function e^x.secx(1+tanx) equals (A)e^x.cosx+c(B)e^x.secx+c(C)e^x.sinx+c(D)e^x.tanx+c

Integrate the function √(x²-8x+7) is equal to (A)1/2(x-4)√(x²-8x+7) + 9log|x-4+√(x²-8x+7)| + c

Evaluate the definite integral integration of tanx limit as 0 to π/4 .

Integrate the function √(1 - 4x²) .

Integrate the function √(1 - 4x -x²) .

Evaluate the definite integral integration limit 0 to 1 of the function (2x+3)/(5x²+1) .

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Integrate the function (x² + 1)logx .

Integrate the function √(x² + 4x +1) .

Integrate the function √(x²+3x).

Integrate the function e^x(1/x - 1/x²) .

Integrate the function xcos^-1(x)/√(1-x²) .

Integrate the function e^2x.sinx .

Integrate the function e^x(sinx + cosx) .

Integrate the function sin^-1(2x/1+x²) .