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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Rewrite the equation as. Calculus Examples Popular Problems. Divide by.
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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.
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Subtract from both sides of the equation. Replace all occurrences of with. Create an equation for the partial fraction variables by equating the coefficients of from each side of the equation. Solve the system of equations. By the Sum Rule, the derivative of with respect to is. For each factor in the denominator , create a new fraction using the factor as the denominator , and an unknown value as the numerator. Multiply the numerator by the reciprocal of the denominator. Simplify the right side. Multiply by. Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. Combine and. Cancel the common factor of. Rewrite the expression. Then , so.
Wolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals.
Write as a fraction with a common denominator. In this case, the denominator is. Solve the system of equations. The integral of with respect to is. Rewrite using the commutative property of multiplication. Then , so. The integral of with respect to is. Calculus Examples Popular Problems. Multiply the numerator by the reciprocal of the denominator. Since both terms are perfect squares , factor using the difference of squares formula , where and. Enter a problem Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. For the equation to be equal, the equivalent coefficients on each side of the equation must be equal. Divide each term in by. Cancel the common factor of.
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