Endpapers

TABLE OF INTEGRALS
Printed Page IFC4

General Formulas

Essential Integrals

Useful Integrals

Integrals Containing $\sqrt{a+bx}$

Integrals Containing $\sqrt{x^{2}{\ }{\pm}{\ }a^{2}}$

Integrals Containing $\sqrt{a^{2}{\ }-{\ }x^{2}}$

Integrals Containing $\sqrt{2ax{\ }-{\ }x^{2}}$

Integrals Containing Trigonometric Functions

84. $\int \sin^2 x dx = \dfrac{x}{2} - \dfrac{\sin (2x)}{4} + C$
85. $\int \cos^2 x dx = \dfrac{x}{2} + \dfrac{\sin (2x)}{4} + C$
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
96. $\int \sin (mx) \sin (nx) dx = -\dfrac{\sin[(m + n) x]}{2(m + n)} + \dfrac{\sin[(m - n)x]}{2(m - n)} + C, m^2 \neq n^2$
97. $\int \cos (mx) \cos (nx) dx = \dfrac{\sin[(m + n) x]}{2(m + n)} + \dfrac{\sin[(m - n)x]}{2(m - n)} + C, m^2 \neq n^2$
98. $\int \sin (mx) \cos (nx) dx = -\dfrac{\cos[(m + n) x]}{2(m + n)} - \dfrac{\cos[(m - n)x]}{2(m - n)} + C, m^2 \neq n^2$
99.
100.
101.
102.
103.
104.
105.