diff --git a/Numeric/Integration/TanhSinh.hs b/Numeric/Integration/TanhSinh.hs
--- a/Numeric/Integration/TanhSinh.hs
+++ b/Numeric/Integration/TanhSinh.hs
@@ -24,7 +24,7 @@
 -- gained quadratically in the number of digits.
 --
 -- > ghci> absolute 1e-6 $ parTrap sin (pi/2) pi
--- > Result {result = 0.9999999999999312, errorEstimate = 2.721789573237518e-10, evalutions = 25}
+-- > Result {result = 0.9999999999999312, errorEstimate = 2.721789573237518e-10, evaluations = 25}
 --
 -- > ghci> confidence $ absolute 1e-6 $ trap sin (pi/2) pi
 -- > (0.9999999997277522,1.0000000002721101)
@@ -33,7 +33,7 @@
 -- singularities at the end points.
 --
 -- > ghci> absolute 1e-6 $ trap (recip . sqrt . sin) 0 1
--- > Result {result = 2.03480500404275, errorEstimate = 6.349514558579017e-8, evalutions = 49}
+-- > Result {result = 2.03480500404275, errorEstimate = 6.349514558579017e-8, evaluations = 49}
 --
 -- See <http://www.johndcook.com/blog/2012/02/21/care-and-treatment-of-singularities/>
 -- for a sense of how more naive quadrature schemes fare.
@@ -67,7 +67,7 @@
 data Result = Result
   { result        :: {-# UNPACK #-} !Double
   , errorEstimate :: {-# UNPACK #-} !Double
-  , evalutions    :: {-# UNPACK #-} !Int
+  , evaluations   :: {-# UNPACK #-} !Int
   } deriving (Read,Show,Eq,Ord)
 
 -- | Convert a Result to a confidence interval
@@ -105,15 +105,13 @@
 
 -- | Integrate from -inf to inf using tanh-sinh quadrature after using the change of variables @x = tan t@
 --
--- > everywhere trap (\x -> x*x*exp(-x))
+-- > everywhere trap (\x -> exp(-x*x))
 --
 -- This works /much/ better than just clipping the interval at arbitrary large and small numbers.
 
 -- TODO: build a custom set of change of variable tables
 everywhere :: ((Double -> Double) -> Double -> Double -> r) -> (Double -> Double) -> r
-everywhere method f = method (\t -> f (tan t) * (1 + square (sec t))) (-1) 1
-  where sec x = recip (cos x)
-        square x = x * x
+everywhere method f = method (\t -> let tant = tan t in f tant * (1 + tant * tant)) (-pi/2) (pi/2)
 
 -- | Integration using a truncated trapezoid rule and tanh-sinh quadrature with a specified evaluation strategy
 trap' :: Strategy [Double] -> (Double -> Double) -> Double -> Double -> [Result]
diff --git a/integration.cabal b/integration.cabal
--- a/integration.cabal
+++ b/integration.cabal
@@ -1,5 +1,5 @@
 name:                integration
-version:             0.1.1
+version:             0.2
 stability:           experimental
 synopsis:            Fast robust numeric integration via tanh-sinh quadrature
 description:         Fast robust numeric integration via tanh-sinh quadrature