Integrals!

Calculus Level 4

If \( \int x e^{\sin x} \, dx = F(x) + c \), and \( \displaystyle \int_0^{10} x^3 e^{\sin (x^2)} \, dx = k (F(a) - F(b)) \). Compute \(ka + b\).


This question is a part of the set Calculus.
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