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B. Tech. Semester-I (All Branch)                                                       Important Formulas

        (B) Trigonometric Functions:

             Z
        (1)      cos x dx = sin x + c






               Z                                             Z
                                 sin 5x                                                sin (5x + 3)
                  cos 5x dx =            + c       and           cos (5x + 3) dx =                    + c
                                    5                                                         5



             Z
        (2)      sin x dx = − cos x + c





             Z
        (3)      tan x dx = log |sec x| + c





             Z
        (4)      cot x dx = log |sin x| + c





             Z
        (5)      sec x dx = log |sec x + tan x| + c





             Z
        (6)      cosec x dx = log |cosec x − cot x| + c





             Z
                    2
        (7)      sec x dx = tan x + c




             Z
                       2
        (8)      cosec x dx = − cot x + c






















        Mr. Snehal D. Patel (Assistant Professor - Mathematics)                                        Page 7 of 9
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