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Compute ∫cos(x)-\(\frac {3}{x4}\)dx.(a) sin(x)+\(\frac {3}{4}\)x^-7+c(b) sec(x)+\(\frac {3}{4}\)x^-3+c(c) sin(x)+\(\frac {3}{4}\)x^-3(d) sin(x)+\(\frac {3}{4}\)x^-3+cThe question was asked during a job interview.This interesting question is from Definite Integral in portion Integrals of Mathematics – Class 12

Answer»

Correct answer is (d) SIN(x)+\(\FRAC {3}{4}\)x^-3+c

For explanation: ∫cos(x)-\(\frac {3}{X4}\)dx = ∫cos(x) dx−∫3(x^-4) dx

= sin(x)+\(\frac {3}{4}\)x^-3+c



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