Consider the definite integral: ∫₁³ 10x-1)e^5x²-x}dx. Let u=5x²-x. Use the substitution method to rewrite the function in the integrand, 10x-1)e^5x²-x}, in terms of u.
Which of the following options correctly represents the rewritten function?
A) 10u-1)eᵘ
B) 10u-1)e^5u²-u}
C) 10u-1)e^5u²-u}dx
D) ∫₁³ 10u-1)e^5u²-u}dx