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index de74700..fcaf82f 100644
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new file mode 100644
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diff --git a/uebung_04/exercise_06/Cargo.toml b/uebung_04/exercise_06/Cargo.toml
new file mode 100644
index 0000000..02870b6
--- /dev/null
+++ b/uebung_04/exercise_06/Cargo.toml
@@ -0,0 +1,9 @@
+[package]
+name = "exercise_06"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+mpi = "0.7.0"
diff --git a/uebung_04/exercise_06/src/main.rs b/uebung_04/exercise_06/src/main.rs
new file mode 100644
index 0000000..bd2a903
--- /dev/null
+++ b/uebung_04/exercise_06/src/main.rs
@@ -0,0 +1,75 @@
+use std::f64::consts::PI;
+use mpi::collective::SystemOperation;
+use mpi::traits::*;
+
+fn main() {
+    let universe = mpi::initialize().unwrap();
+    let world = universe.world();
+
+    let size = world.size();
+    let rank = world.rank();
+
+    let support_points = 20;
+    let a = 0.0;
+    let b = 1.0;
+    let N = (b - a) / size as f64;
+
+    let f = |x: f64| 1.0 / (1.0 + x.powi(2)) as f64; // function
+    let n = (support_points / size) as u32; // fewer ranks should also use an appropriate amount of support points; the support points are distributed among the ranks
+    let partial_integral = trapezoidal_rule(f, a + rank as f64 * N, a + (rank + 1) as f64 * N, n);
+
+    world.barrier();
+
+    let mut integral = 0.0;
+
+    world.all_reduce_into(&partial_integral, &mut integral, SystemOperation::sum());
+
+    if rank == 0 {
+        println!("The approximated integral is {}", integral);
+        println!("The error is {}", (integral - (PI / 4.0)).abs());
+    }
+}
+
+fn trapezoidal_rule(f: fn(f64) -> f64, a: f64, b: f64, n: u32) -> f64 {
+    let h = (b - a) / n as f64;
+    let mut result = 0.5 * (f(a) + f(b));
+
+    for i in 1..n {
+        let x_i = a + i as f64 * h;
+        result += f(x_i);
+    }
+
+    h * result
+}
+
+#[cfg(test)]
+mod tests {
+    use std::f64::consts::PI;
+    use crate::trapezoidal_rule;
+
+    #[test]
+    fn should_return_0_trapezoid_rule() {
+        let expected = 0.0;
+        let actual = trapezoidal_rule(|_x| 0.0, 0.0, 10.0, 1);
+
+        assert_eq!(expected, actual, "Integral is {} but should be {}", actual, expected);
+    }
+
+    #[test]
+    fn should_return_1_trapezoid_rule() {
+        let expected = 1.0;
+        let actual = trapezoidal_rule(|_x| 1.0, 0.0, 1.0, 1);
+
+        assert_eq!(expected, actual, "Integral is {} but should be {}", actual, expected);
+    }
+
+    #[test]
+    fn should_return_pi_trapezoid_rule() {
+        let expected = PI / 4.0;
+        let actual = trapezoidal_rule(|x| 1.0 / (1.0 + x.powi(2)), 0.0, 1.0, 10);
+
+        let tolerance = 1e-3;
+
+        assert!((expected - actual).abs() < tolerance, "Integral is {} but should be {}", actual, expected);
+    }
+}
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