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Basic Mathematics20785 marksNumerical: evaluating integralsPartial fraction decomposition

Define integration. Evaluate the following integral. int fracdx(x-1)(x-2), int-11 3x2 sqrtx3 + 1 ,dx [1+4]

Define integration. Evaluate the following integral. $\int \frac{dx}{(x-1)(x-2)}$, $\int_{-1}^{1} 3x^2 \sqrt{x^3 + 1} ,dx$ [1+4]

Integration is the reverse process of differentiation. It is the process of finding a function (the antiderivative) whose derivative is a given function. If $F'(x) = f(x)$, then: $$\int f(x),dx = F(x) + C$$ where $C$ is the constant of integration. For a definite integral: $$\inta^b f(x),dx = [...

Up nextDefine integral test. Determine the convergence or divergence of the series sumn=1infty fr