₀¹ dx/1+x² - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.9
Evaluate the definite integrals in Exercises 176 to 195.

Question : 185 of 271

Marks: +1, -0

\int\limits_{0}^{1} \frac{dx}{1+x^2}

Solution:

\int\limits_{0}^{1} \frac{dx}{1+x^2}

=[ an^{-1}x]^1_0

= an^{-1}(1)- an^{-1}(0)

=\frac{\pi}{4}

Go to Question: