6.4 Contents

1. $\int\sin(a·x)\thinspace dx$ 🔧

2. $\int\cos(a·x)\thinspace dx$ 🔧

3. $\int\csc(a·x)\thinspace dx$ 🔧

4. $\int\sec(a·x)\thinspace dx$ 🔧

5. $\int\tan(a·x)\thinspace dx$ 🔧

6. $\int\cot(a·x)\thinspace dx$ 🔧

7. $\int\sin^2(a·x)\thinspace dx$ 🔧

8. $\int\cos^2(a·x)\thinspace dx$ 🔧

9. $\int\csc^2(a·x)\thinspace dx$ 🔧

1. $\int\sec^2(a·x)\thinspace dx$ 🔧

2. $\int\tan^2(a·x)\thinspace dx$ 🔧

3. $\int\cot^2(a·x)\thinspace dx$ 🔧

4. $\int\sin^{-1}(a·x)\thinspace dx$ 🔧

5. $\int\cos^{-1}(a·x)\thinspace dx$ 🔧

6. $\int\csc^{-1}(a·x)\thinspace dx$ 🔧

7. $\int\sec^{-1}(a·x)\thinspace dx$ 🔧

8. $\int\tan^{-1}(a·x)\thinspace dx$ 🔧

9. $\int\cot^{-1}(a·x)\thinspace dx$ 🔧

6.4.1 $\int\sin(a·x)\thinspace dx$ 🔧

Proof

6.4.2 $\int\cos(a·x)\thinspace dx$ 🔧

Proof

6.4.3 $\int\csc(a·x)\thinspace dx$ 🔧

Proof

6.4.4 $\int\sec(a·x)\thinspace dx$ 🔧

Proof

6.4.5 $\int\tan(a·x)\thinspace dx$ 🔧

Proof

6.4.6 $\int\cot(a·x)\thinspace dx$ 🔧

Proof

6.4.7 $\int\sin^2(a·x)\thinspace dx$ 🔧

Proof

6.4.8 $\int\cos^2(a·x)\thinspace dx$ 🔧

Proof

6.4.9 $\int\csc^2(a·x)\thinspace dx$ 🔧

Proof

6.4.A $\int\sec^2(a·x)\thinspace dx$ 🔧

Proof

6.4.B $\int\tan^2(a·x)\thinspace dx$ 🔧

Proof

6.4.C $\int\cot^2(a·x)\thinspace dx$ 🔧

Proof

6.4.D $\int\sin^{-1}(a·x)\thinspace dx$ 🔧

Proof

6.4.E $\int\cos^{-1}(a·x)\thinspace dx$ 🔧

Proof

6.4.F $\int\csc^{-1}(a·x)\thinspace dx$ 🔧

Proof

6.4.G $\int\sec^{-1}(a·x)\thinspace dx$ 🔧

Proof

6.4.H $\int\tan^{-1}(a·x)\thinspace dx$ 🔧

Proof

6.4.I $\int\cot^{-1}(a·x)\thinspace dx$ 🔧

Proof