Home » Find (int^{1}_{0}) cos4 x dx

Find (int^{1}_{0}) cos4 x dx

Find (int^{1}_{0}) cos4 x dx
  • A.
    (frac{3}{4}) sin 4x + k
  • B.
    -(frac{1}{4}) sin 4x + k
  • C.
    -(frac{3}{4}) sin 4x + k
  • D.
    (frac{1}{4}) sin 4x + k
Correct Answer: Option D
Explanation

(int^{1}_{0}) cos4 x dx
let u = 4x
(frac{dy}{dx}) = 4
dx = (frac{dy}{4})
(int^{1}_{0})cos u. (frac{dy}{4}) = (frac{1}{4})(int)cos u du
= (frac{1}{4}) sin u + k
= (frac{1}{4}) sin4x + k

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