Integral of 1/x2

Please ensure that your password is at least 8 characters and contains each of the following:.

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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Since both terms are perfect squaresfactor using the difference of squares formulawhere and. Replace all occurrences of in with.

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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. I designed this website and wrote all the calculators, lessons, and formulas. If you want to contact me, probably have some questions, write me using the contact form or email me on [email protected]. Math Calculators, Lessons and Formulas It is time to solve your math problem. Calculators :: Calculus :: Integral Calculator.

Integral of 1/x2

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. Find the antiderivatives of mathematical expressions. Calculate definite nested integrals in multiple variables. Find definite or indefinite integrals involving a particular special function. Find integrals with lower and upper limits, also known as Riemann integrals. Integrate expressions using numerical approximation.

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Rewrite the expression. For the equation to be equal, the equivalent coefficients on each side of the equation must be equal. Multiply by. The integral of with respect to is. Cancel the common factor. Remove the zero from the expression. Rewrite the equation as. Create an equation for the partial fraction variables by equating the coefficients of from each side of the equation. Apply the distributive property. Write the fraction using partial fraction decomposition. Please ensure that your password is at least 8 characters and contains each of the following:. Set up the system of equations to find the coefficients of the partial fractions. Simplify the expression.

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.

Create equations for the partial fraction variables and use them to set up a system of equations. Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. Reorder terms. Decompose the fraction and multiply through by the common denominator. Create equations for the partial fraction variables and use them to set up a system of equations. Add to both sides of the equation. Simplify each term. Rewrite the problem using and. Enter a problem Please ensure that your password is at least 8 characters and contains each of the following:. Then , so. Since is constant with respect to , the derivative of with respect to is.