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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Multiply by. By the Sum Rule, the derivative of with respect to is.
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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. Explore integral representations of various math functions.
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Differentiate using the Power Rule which states that is where. Rewrite using the commutative property of multiplication. List all of the solutions. Add to both sides of the equation. Replace each of the partial fraction coefficients in with the values found for and. Create an equation for the partial fraction variables by equating the coefficients of the terms not containing. Rewrite the expression. Multiply the numerator by the reciprocal of the denominator. Write the fraction using partial fraction decomposition. Since is constant with respect to , move out of the integral. Raise to the power of. Since the factor in the denominator is linear, put a single variable in its place. Replace all occurrences of with. Solve the system of equations.
Wolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals.
Create an equation for the partial fraction variables by equating the coefficients of from each side of the equation. Replace all occurrences of in with. Since the factor in the denominator is linear, put a single variable in its place. Simplify each term. Multiply each fraction in the equation by the denominator of the original expression. Replace all occurrences of with in each equation. Since is constant with respect to , the derivative of with respect to is. Since is constant with respect to , move out of the integral. Then , so. Move the negative in front of the fraction. Please ensure that your password is at least 8 characters and contains each of the following:. In this case, the denominator is.
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