Question

Use the Fundamental Theorem of Calculus to evaluate the following integral if it exists. Otherwise, enter DNE if the integral does not exist.\\ $\int_0^1 \frac{1}{t^2 + 1} dt = $

          Use the Fundamental Theorem of Calculus to evaluate the following integral if it exists. Otherwise, enter DNE if the integral does not exist.\\
$\int_0^1 \frac{1}{t^2 + 1} dt = $

Use the Fundamental Theorem of Calculus to evaluate the following integral if it exists. Otherwise, enter DNE if the integral does not exist.

∫0^1 (1)/(t^2 + 1) dt =

Added by Elena H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

04/19/2022

Step 1

Step 1: Apply the Fundamental Theorem of Calculus, which states that if f is continuous on the interval [a, b] and F is an antiderivative of f on [a, b], then ∫[a, b] f(t) dt = F(b) - F(a). Show more…

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Use the Fundamental Theorem of Calculus to evaluate the following integral if it exists. Otherwise, enter DNE if the integral does not exist. int_0^1 (1)/(t^(2)+1)dt= Use the Fundamental Theorem of Calculus to evaluate the following integral if it exists. Otherwise, enter DNE if the integral does not exist. 1 dt= t2+1 10 1