Evaluate $\int 5 x ^ { 4 } e ^ { x ^ { 5 } } d x$ .
A) $e ^ {{ x } ^{6}}+ C$
B) $e ^ { x ^ { 5 } } + C$
C) $x ^ { 5 } e ^ { x ^ { 5 } } + C$
D) $25 x ^ { 5 } e ^ { x ^ { 5 } } + C$

Question

Quizplus · Accepted Answer

The integral can be solved by recognizing it as a case of integration by substitution. Let $u = x^5$, then $du = 5x^4 dx$. Substituting these into the integral gives $\int e^u du = e^u + C = e^{x^5} + C$.

Evaluate ∫5x4ex5dx\int 5 x ^ { 4 } e ^ { x ^ { 5 } } d x∫5x4ex5dx

Evaluate $\int 5 x ^ { 4 } e ^ { x ^ { 5 } } d x$