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.

Integral of 1/x2

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Divide by. Please ensure that your password is at least 8 characters and contains each of the following:. List all of the solutions.

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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". Supported constants: e, pi 4. Supported functions: sqrt, ln use 'ln' instead of 'log' , e use 'e' instead of 'exp' Trigonometric functions: sin cos tan cot sec csc Inverse trigonometric functions: acos asin atan acot asec acsc Hyperbolic functions: sinh, cosh, tanh, coth, sech, csch.

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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Step 1. Multiply each fraction in the equation by the denominator of the original expression. Substitute back in for each integration substitution variable. Rewrite the problem using and. Write the fraction using partial fraction decomposition. For the equation to be equal, the equivalent coefficients on each side of the equation must be equal. Use the quotient property of logarithms,. Then , so. Rewrite using and. Since both terms are perfect squares , factor using the difference of squares formula , where and. Split the single integral into multiple integrals. For each factor in the denominator , create a new fraction using the factor as the denominator , and an unknown value as the numerator. Cancel the common factor of.

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.

Cancel the common factor of. Differentiate using the Power Rule which states that is where. Replace each of the partial fraction coefficients in with the values found for and. The integral of with respect to is. Raise to the power of. Reorder terms. Move the negative in front of the fraction. Then , so. For each factor in the denominator , create a new fraction using the factor as the denominator , and an unknown value as the numerator. Solve the system of equations. Replace all occurrences of with. Split the single integral into multiple integrals. Please ensure that your password is at least 8 characters and contains each of the following:. Simplify the right side.