Final answer to the problem
$\left(x^2+a^2\right)\ln\left|x^2+a^2\right|-x^2-a^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
The integral $\int\ln\left(a^2+x^2\right)dx$ results in $\left(x^2+a^2\right)\ln\left(x^2+a^2\right)-\left(x^2+a^2\right)$
Learn how to solve integral calculus problems step by step online.
$\left(x^2+a^2\right)\ln\left|x^2+a^2\right|-\left(x^2+a^2\right)$
Learn how to solve integral calculus problems step by step online. Solve the integral of logarithmic functions int(ln(a^2+x^2))dx. The integral \int\ln\left(a^2+x^2\right)dx results in \left(x^2+a^2\right)\ln\left(x^2+a^2\right)-\left(x^2+a^2\right). Simplify the product -(x^2+a^2). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\left(x^2+a^2\right)\ln\left|x^2+a^2\right|-x^2-a^2+C_0$
