Answer
$\bf{True}$
Work Step by Step
Here, we have: $\int \dfrac{2x}{1+x^2} \ dx=\ln (1+x^2)+Constant(C)$
Also, $\int_1^{1+x^2} \dfrac{1}{t} \ dt+C=[\ln (t)]_1^{1+x^2}=\ln (1+x^2)+Constant(C)$
Hence, the given statement is $\bf{True}$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.6 Logarithmic And Other Functions Defined By Integrals - Exercises Set 6.6 - Page 460: 22
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