Integral of 1/x2

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Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Calculus Examples Popular Problems. Write the fraction using partial fraction decomposition. Decompose the fraction and multiply through by the common denominator.

Integral of 1/x2

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Decompose the fraction and multiply through by the common denominator.

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Wolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator also shows plots, alternate forms and other relevant information to enhance your mathematical intuition. Use Math Input above or enter your integral calculator queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for an integral using plain English. Get immediate feedback and guidance with step-by-step solutions for integrals and Wolfram Problem Generator. The indefinite integral of , denoted , is defined to be the antiderivative of. In other words, the derivative of is. Since the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constant. For example,, since the derivative of is.

Integral of 1/x2

This calculator computes the definite and indefinite integrals antiderivative of a function with respect to a variable x. Supported functions: sqrt, ln use 'ln' instead of 'log' , e use 'e' instead of 'exp'. Welcome to MathPortal.

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Simplify the expression. Create equations for the partial fraction variables and use them to set up a system of equations. Rewrite the equation as. Differentiate using the Power Rule which states that is where. In this case, the denominator is. Multiply each fraction in the equation by the denominator of the original expression. Create equations for the partial fraction variables and use them to set up a system of equations. Replace all occurrences of with in each equation. Rewrite the expression. The integral of with respect to is. Divide by.

Integrals come in two varieties: indefinite and definite. Indefinite integrals can be thought of as antiderivatives, and definite integrals give signed area or volume under a curve, surface or solid. Wolfram Alpha can compute indefinite and definite integrals of one or more variables, and can be used to explore plots, solutions and alternate representations of a wide variety of integrals.

Calculus Examples Popular Problems. Replace each of the partial fraction coefficients in with the values found for and. Remove the zero from the expression. Apply the distributive property. Since is constant with respect to , move out of the integral. Divide by. Replace each of the partial fraction coefficients in with the values found for and. Multiply by. Move the negative in front of the fraction. Please ensure that your password is at least 8 characters and contains each of the following:. Since the factor in the denominator is linear, put a single variable in its place. Add to both sides of the equation.