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Evaluate the Integral (x3+x4)sec2(5x4+4x5)dx\int \left( x ^ { 3 } + x ^ { 4 } \right) \sec ^ { 2 } \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) \mathrm { d } x

Question 1

Multiple Choice

Evaluate the integral. (x3+x4) sec2(5x4+4x5) dx\int \left( x ^ { 3 } + x ^ { 4 } \right) \sec ^ { 2 } \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) \mathrm { d } x


A) 15tan(5x4+4x5) +C\frac { 1 } { 5 } \tan \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) + C
B) 120tan(5x4+4x5) +C\frac { 1 } { 20 } \tan \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) + C
C) 14tan(5x4+4x5) +C\frac { 1 } { 4 } \tan \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) + C
D) tan(5x4+4x5) +C\tan \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) + C
E) 20tan(5x4+4x5) +C20 \tan \left( 5 x ^ { 4 } + 4 x ^ { 5 } \right) + C

Correct Answer:

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