The value of _0^1 a-b x^2(a+b x^2)^2 d x is : Option 1: a-b/a+b Option 2: 1/a-b Option 3: a+b/2 Option 4: 1/a+b

The answer is '1/a+b'. View full solution:

Calculus > Integrals

Medium

common

The value of $\int_{0}^{1} \frac{a-b x^{2}}{\left(a+b x^{2}\right)^{2}} d x$ is :

$\frac{a-b}{a+b}$

$\frac{1}{a-b}$

$\frac{a+b}{2}$

$\frac{1}{a+b}$

✅ Correct Option: 4

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Choose the correct answer from the options given below: