Final answer to the problem
$e^2\sqrt{a}whr\arctan\left(\sqrt{a}\right)=5$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
When multiplying two powers that have the same base ($e$), you can add the exponents
$e^2\int_{0}^{1}\frac{1}{1+ax^2}dxwhra=5$
2
Solve the integral $e^2\int_{0}^{1}\frac{1}{1+ax^2}dxwhra$ and replace the result in the differential equation
$e^2\sqrt{a}whr\arctan\left(\sqrt{a}\right)=5$
Final answer to the problem
$e^2\sqrt{a}whr\arctan\left(\sqrt{a}\right)=5$