Table of Integrals, Series, and Products, 8th Edition

${\displaystyle \int \Delta \text{sin}x\text{d}x=-\frac{\Delta \text{cos}x}{2}-\frac{{k^{\prime }}^2}{2k}ln(k\text{cos}x+\Delta )}$

3. 

${\displaystyle \int \Delta \text{cos}x\text{d}x=-\frac{\Delta \text{sin}x}{2}+\frac{1}{2k}\text{arcsin}\left(k\text{sin}x\right)}$

4. 

${\displaystyle \int \Delta {\text{sin}}^{2}x\text{d}x=-\frac{\Delta }{3}\text{sin}x\text{cos}x+\frac{{k^{\prime }}^2}{3k^2}F(x,k)+\frac{2k^2-1}{3k^2}E(x,k)}$

5. 

${\displaystyle \int \Delta \text{sin}x\text{cos}x\text{d}x=-\frac{{\Delta }^3}{3k^2}}$

6. 

${\displaystyle \int \Delta {\text{cos}}^{2}x\text{d}x=\frac{\Delta }{3}\text{sin}x\text{cos}x-\frac{{k^{\prime }}^2}{3k^2}F(x,k)+\frac{k^2+1}{3k^2}E(x,k)}$

7. 

${\displaystyle \int \Delta {\text{sin}}^{3}x\text{d}x=-\frac{2k^2{\text{sin}}^{2}x+3k^2-1}{8k^2}\Delta \text{cos}x+\frac{3k^4-2k^2}{}}$