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from sympy import integrate, Symbol, sin

x = Symbol('x')


def bench_integrate_sin():
    integrate(sin(x), x)


def bench_integrate_x1sin():
    integrate(x**1*sin(x), x)


def bench_integrate_x2sin():
    integrate(x**2*sin(x), x)


def bench_integrate_x3sin():
    integrate(x**3*sin(x), x)