Compute ∫cos(x)-\frac {3}{x4}dx.

Category: QuestionsCompute ∫cos(x)-\frac {3}{x4}dx.
Editor">Editor Staff asked 11 months ago

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+c
 
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This interesting question is from Definite Integral in portion Integrals of Mathematics – Class 12
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1 Answers
Editor">Editor Staff answered 11 months ago

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