Academic Videos (Solved Examples)

Weierstrass Substitution: Integral of 1/(cos(x) + (3/4)sin(x)) dx

Integration by Partial Fractions: Integral of 1/((x - 1)^2*(x – 2)^2) dx

Integration by Partial Fractions: Integral of (4x^2 - 21x)/((x - 3)^2*(2x + 3)) dx

Integration by Partial Fractions: Integral of 3/((x + 1)(x^2 + x)) dx

Integration by Partial Fractions: Integral of (x^2 + 3x - 44)/((x + 3)(x + 5)(3x - 2)) dx

Integration by Partial Fractions: Integral of 1/((x - 2)(x - 3)(x + 2)) dx

Integration by Partial Fractions: Integral of (x^2 + 11x)/((x - 1)(x + 1)^2)) dx

Integration by Partial Fractions: Integral of (2x - 1)/(x^2 - 5x + 6) dx

Differential Equation Variation of Parameters: x^2*y'' + xy' = cos(ln x)

First Order Linear Differential Equation: x^4*dy/dx + 2x^3*y = 1

Integration by Partial Fractions: Integral of 1/(x(2x + 1)) dx

Integration by Partial Fractions: Integral of 1/((x - 2)(x - 4)) dx

Integration by trigonometric substitution: Integral of x^4/sqrt(1 - x^2) dx

Find the volume of the solid lying under the elliptic paraboloid x^2/4 + y^2/9 + z = 1

Determine the absolute extrema of the function f(x) = 2x^3 -3x^2 - 12x + 1 on the interval [-2,3]

Integration by u Substitution: Integral of cos^2(x)*tan^3(x) dx

Limit of (sqrt(x) - 3)/(x - 9) as x approaches 9

Find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2

Laplace Transform of unit step function

What is the difference between timesharing and multiprogramming systems?

Limit of (x - 1)/(sqrt(x + 3) - 2) as x approaches 1

General Solution of the augmented matrix: [1 3 4 7 ; 3 9 7 6]

System of Differential Equations (Laplace Transform): x'+x-5y=0 , y'+4x+5y=0 , x(0)=-1 , y(0)=2

Average value of y = x^2 - 3x + 6 on the interval [0,9]

Integration by Substitution: Integral of 1/(e^(x/2) + e^x) dx

Integral of 1/(x*sqrt(x^2 - 9)) dx by using trigonometric substitution

Estimate the volume of solid that lies below the surface z = xy and above rectangle R=[(0,6)x(0,4)]

Integral of sec^2(x)csc^2(x) dx

Convolution of two functions: f(t) = t , g(t) = cos t

Differential Equation Method of Frobenius: 2xy'' + 5y' + xy = 0

Differential Equation Method of Frobenius: 2xy'' - y' + 2y = 0

Integral of sin 2x cos x dx

Inverse Laplace Transform of function including natural log: ln(1 + 1/s^2)

Integral of cos^2(x)sin(2x) dx

General Solution of the Augmented Matrix: [1 -3 0 -5 ; -3 7 0 9]