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Find the Indefinite Integral tan3(πx2)sec2(πx2)dx\int \tan ^ { 3 } \left( \frac { \pi x } { 2 } \right) \sec ^ { 2 } \left( \frac { \pi x } { 2 } \right) d x

Question 64

Multiple Choice

Find the indefinite integral. tan3(πx2) sec2(πx2) dx\int \tan ^ { 3 } \left( \frac { \pi x } { 2 } \right) \sec ^ { 2 } \left( \frac { \pi x } { 2 } \right) d x


A) 12πtan4πx2+C- \frac { 1 } { 2 \pi } \tan ^ { 4 } \frac { \pi x } { 2 } + C
B) 13πtan4ππ2+C\frac { 1 } { 3 \pi } \tan ^ { 4 } \frac { \pi \pi } { 2 } + C
C) 13πtan5πK2+C\frac { 1 } { 3 \pi } \tan ^ { 5 } \frac { \pi K } { 2 } + C
D) 12πtan4ππ2+C\frac { 1 } { 2 \pi } \tan ^ { 4 } \frac { \pi \pi } { 2 } + C
E) 13πtan4πx2+C- \frac { 1 } { 3 \pi } \tan ^ { 4 } \frac { \pi x } { 2 } + C

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