## Integral of the Hyperbolic Cosecant Squared

In this tutorial we shall discuss the integration of the hyperbolic cosecant square function, and this integral is an important… Click here to read more

From basic to higher mathematics

In this tutorial we shall discuss the integration of the hyperbolic cosecant square function, and this integral is an important… Click here to read more

In this tutorial we shall look at another important integration: the integral of 1 over the square root of $${1-x^2}$$…. Click here to read more

In this tutorial we shall look at another important integration, the integral of $$1$$ over $$1$$ plus $$x$$ squared. This… Click here to read more

In this tutorial we shall discuss the integration of 1 over x into the square root of x^2-1, and this… Click here to read more

In this tutorial we shall discuss the integration of 1 over the square root of x^2+a^2, and this is another… Click here to read more

In this tutorial we shall discuss the integration of 1 over the square root of x^2-a^2, and this is another… Click here to read more

In this tutorial we shall discuss the integration of 1 over x into the square root of x^2-a^2, and this… Click here to read more

In this tutorial we shall discuss the integration of 1 over x^2+a^2, and this is another important form of integration…. Click here to read more

In this tutorial we shall find the integration of 1 over x lnx function. To evaluate this integral we shall… Click here to read more

In this tutorial we shall find the integral of x sine inverse of x, and solve this problem with the… Click here to read more

In this tutorial we shall find the integral of x ln x and solve this problem with the help of… Click here to read more

In this tutorial we shall derive the integration of the square root of a^2-x^2, and solve this integration with the… Click here to read more

In this tutorial we shall derive the integration of the square root of a^2+x^2, and solve this integration with the… Click here to read more

In this tutorial we shall derive the integration of the square root of x^2-a^2, and solve this integration with the… Click here to read more

In this tutorial we shall find the integral of the x Cos2x function. To evaluate this integral we shall use… Click here to read more

In this tutorial we shall discuss using partial fractions to find the integration of rational functions. We shall illustrate this… Click here to read more

In this tutorial we shall find the integral of 1 over a^2-x^2. The integration is of the form \[\int {\frac{1}{{{a^2}… Click here to read more

In this tutorial we shall find the integral of 1 over x^2-a^2. The integration is of the form \[\int {\frac{1}{{{x^2}… Click here to read more

In this tutorial we shall derive the integral of sine squared x. The integration is of the form \[I =… Click here to read more

In this tutorial we shall derive the integral of cosine squared x. The integration is of the form \[I =… Click here to read more

In this tutorial we shall derive the integral of e^x into the sine function, and this integral can be evaluated… Click here to read more

In this tutorial we shall derive the integral of e^x into the cosine function, and this integral can be evaluated… Click here to read more

In this tutorial we shall derive the integral of sin(lnx) and solve this problem with the help of the integration… Click here to read more

In this tutorial we shall derive the integral of Sqrt x lnx, and solve this problem with the help of… Click here to read more

Consider an expression $$F\left( x \right)$$ such that \[\frac{d}{{dx}}\left[ {f\left( x \right)} \right] = 4{x^3}\] Integrating both sides with respect… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function sine from limits 0 to Pi. The… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function cosine from limits 0 to Pi. The… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function tangent from limits 0 to Pi over… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function secant tangent from limits 0 to Pi… Click here to read more

In this tutorial we shall derive the definite integral of inverse tangent from limits 0 to Pi over 4. The… Click here to read more

In this tutorial we shall find an example of a definite integral of a linear function from limits 1 to… Click here to read more

In this tutorial we shall find a different type of function known as the integral of e^x(sinx+cosx). The integral of e^x(sinx+cosx)… Click here to read more

In this tutorial we shall find a different type of function known as the integral of e^x(ln x+1/x). The integral of e^x(ln… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function $$\sin^{4}x$$ from limits 0 to Pi/4. The… Click here to read more

In this tutorial we shall derive the definite integral of the trigonometric function $$\cos^{4}x$$ from limits 0 to Pi/4. The… Click here to read more

The area of certain geometrical figures refers to a number that in some way measures the size of the region… Click here to read more

In this tutorial we shall find the area of the region between the x-axis and the curve $$y = {x^2}… Click here to read more

In this tutorial we shall find the area bounded by the curve $$y = {x^3} + 1$$, the x-axis and… Click here to read more

In this tutorial we shall find the area bounded by the curve $$y = {x^3} – x$$ and the x-axis…. Click here to read more

Let us consider an example to illustrate the application of the definite integral to find the area function $$A\left( x… Click here to read more

In this tutorial we shall find the area bounded by the curve. In the given diagram we have two regions:… Click here to read more

We live in a world of interrelated changing entities. The position of the earth changes with time, the velocity of… Click here to read more

The order of the highest ordered derivative involved in a differential equation is called the order of the differential equation…. Click here to read more

The value of the dependent variable which along with its derivatives is involved in the differential equation and satisfies the… Click here to read more

The general differential equation of the first order and first degree \[\frac{{dy}}{{dx}} = f\left( {x,y} \right)\,\,\,\,\,{\text{ – – – }}\left(… Click here to read more

In this tutorial we shall evaluate the simple differential equation of the form $$\frac{{dy}}{{dx}} = \frac{y}{x}$$, and we shall use… Click here to read more

In this tutorial we shall evaluate the simple differential equation of the form $$\frac{{dy}}{{dx}} = x{e^{ – y}}$$, and we… Click here to read more

In this tutorial we shall evaluate the simple differential equation of the form $$\frac{{dy}}{{dx}} = {e^{\left( {x – y} \right)}}$$ using… Click here to read more

In this tutorial we shall evaluate the simple differential equation of the form $$\frac{{dy}}{{dx}} = x{y^2}$$ by using the method… Click here to read more

In this tutorial we shall solve a differential equation of the form $$y’ = {y^2}\sin x$$ by using the separating… Click here to read more