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Calculus

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Cyber
30/03/2017 0 0

Following are the formulas used for differentiation


(d/dx) (x^n) = nx^(n-1)
(d/dx) (e^x) = e^x
(d/dx) (logx) = 1/x
(d/dx) (sinx) = cosx
(d/dx) (cosx) = -sinx
(d/dx) (tanx) = sec^2 x
(d/dx) (cotx) = -cosec^2x
(d/dx) (secx) = secxtanx
(d/dx) (cosecx) = -cosecxcotx

Integration problem:

Integration of sin3x + cos5x = (-1/3)cos3x + (1/5)sin5x.

When integrating integrate trigonometric functions and divide with coefficient of x

Integral of sin(x) is -cos(x) and integral of cos(x) is sin(x).

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