Integral of 1/x2

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Calculus Examples Popular Problems.

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. Factor out of. Raise to the power of.

Integral of 1/x2

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For each factor in the denominatorcreate a new fraction using the factor as the denominatorand an unknown value as the numerator. Simplify each term. Split the single integral into multiple integrals.

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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. For square root use "sqrt".

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.

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Cancel the common factor of. Simplify the expression. Substitute back in for each integration substitution variable. Decompose the fraction and multiply through by the common denominator. Factor the fraction. Rewrite using the commutative property of multiplication. Combine and. For the equation to be equal, the equivalent coefficients on each side of the equation must be equal. Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. Raise to the power of. Since is constant with respect to , move out of the integral. Factor out of. The integral of with respect to is. Enter a problem

Wolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals.

Cancel the common factor of. Create equations for the partial fraction variables and use them to set up a system of equations. Replace all occurrences of with. Set up the system of equations to find the coefficients of the partial fractions. In this case, the denominator is. Simplify the expression. Rewrite using and. Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. Divide by. Then , so. Combine and. Add to both sides of the equation.