Theintegration rulesare rules used to integrate different types of functions. We have seen that ∫ 2x dx = x2+ C as d/dx (x2) = 2x. This can be obtained by the power rule of integration that says ∫xndx = xn+1/(n+1) + C, where 'C' is the integration constant (which we a...
Differential calculus is a part of calculus that studies the instantaneous rate of change of a function. It involves concepts such as derivatives and limits to analyze the slope of curves and to determine critical points. What do you Use Calculus for? Calculus is used in physics where the conc...
Numerical integration isthe approximate computation of an integral using numerical techniques. The numerical computation of an integral is sometimes called quadrature. ... A generalization of the trapezoidal rule is Romberg integration, which can yield accurate results for many fewer function evaluations. ...
Answer:Hence the slope of the tangent at the given point is -1 Example 4:Differentiate x tan x. Solution: Byproduct rulefrom in differential calculus, d/dx (x tan x) = x (d/dx (tan x)) + tan x (d/dx (x)) Using calculus formulas, ...