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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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Rewrite the expression $\frac{\sqrt{25+\left(1+x^2\right)^2}}{1+x^2}$ inside the integral in factored form
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{6}\frac{\sqrt{\left(y+1\right)^2+25}}{1+x^2}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function ((25+(1+x^2)^2)^(1/2))/(1+x^2) from 0 to 6. Rewrite the expression \frac{\sqrt{25+\left(1+x^2\right)^2}}{1+x^2} inside the integral in factored form. The integral of a function times a constant (\sqrt{\left(y+1\right)^2+25}) is equal to the constant times the integral of the function. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right). Evaluate the definite integral.
