## Problem Statement

Calculate the indefinite integral:

$$
\int \frac{\operatorname{tg}(x+1)}{\cos ^{2}(x+1)} d x
$$
## Solution

$$
\int \frac{\operatorname{tg}(x+1)}{\cos ^{2}(x+1)} d x=\int \operatorname{tg}(x+1) \cdot d(\operatorname{tg}(x+1))=\frac{\operatorname{tg}^{2}(x+1)}{2}+C
$$

Source — "http://pluspi.org/wiki/index.php/\�\�\�\�\�\�\�\�\�\�\�\� \%D0\%9A\%D1\%83\%D0\%B7\%D0\%BD\%D0\%B5\%D1\%86\%D0\%BE\%D0\%B2_\%D0\%98\%D0\%BD $\% \mathrm{D} 1 \% 82 \% \mathrm{D} 0 \% \mathrm{~B} 5 \% \mathrm{D} 0 \% \mathrm{~B} 3 \% \mathrm{D} 1 \% 80 \% \mathrm{D} 0 \% \mathrm{~B} 0 \% \mathrm{D} 0 \% \mathrm{BB} \% \mathrm{D} 1 \% 8 \mathrm{~B}+3-8$ " Categories: Kuznetsov Problem Book Integrals Problem 3 | Integrals

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## Problem Kuznetsov Integrals 3-9

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