small spelling tweaks (#264)

diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7553269..015311d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -15,7 +15,7 @@
 
 ## 0.13.0 - 2019-07-10
 
- * BREAKING CHANGE: Skips collecting coverage for `dart:` libaries by default,
+ * BREAKING CHANGE: Skips collecting coverage for `dart:` libraries by default,
    which provides a significant performance boost. To restore the previous
    behaviour and collect coverage for these libraries, use the `--include-dart`
    flag.
diff --git a/lib/src/collect.dart b/lib/src/collect.dart
index e987743..d0c005e 100644
--- a/lib/src/collect.dart
+++ b/lib/src/collect.dart
@@ -21,7 +21,7 @@
 /// running Dart VM and must not be null.
 ///
 /// If [resume] is true, all isolates will be resumed once coverage collection
-/// is complate.
+/// is complete.
 ///
 /// If [waitPaused] is true, collection will not begin until all isolates are
 /// in the paused state.