Class 11 Physics (India): Indefinite integrals of sin(x), cos(x), and eˣ

∫sin(x)dx=-cos(x)+C, ∫cos(x)dx=sin(x)+C, and ∫eˣdx=eˣ+C. Learn why this is so and see worked examples.

Class 11 Physics (India)

Let's learn, practice, and master topics of class 11 physics (NCERT) starting with kinematics and then moving to dynamics with Newton's laws of motion, work, energy, and power. Let's then use these as the foundation to learn about centre of mass, rotational motion, gravitation, solids, fluids, thermodynamics, and oscillations and waves.

Indefinite integrals of common functions

Indefinite integrals (or antiderivatives) are really just backward differentiation. Therefore, the indefinite integral of eˣ is eˣ+c, the indefinite integral of 1/x is ln(x)+c, the indefinite integral of sin(x) is -cos(x)+c, and the indefinite integral of cos(x) is sin(x)+c.

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