Evaluate the integral. ∫cos⁡h2xdx

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Evaluate the integral.  ∫cos⁡h2xdx

Marlene Broomfield · Accepted Answer

Step 1  Given,  ∫cos⁡h2xdx  Step 2  Now,  ∴∫cos⁡h(2x)dx  Applying substitution method,  let u =2x  ⇒du=2dx  ⇒du2=dx  The integral becomes  =∫12cos⁡h(u)du  =12∫cos⁡h(u)du  =12sin⁡h(u)+C  Substituting back: u=2x  =12sin⁡h(2x)+C  ∴∫cos⁡h(2x)dx=12sin⁡h(2x)+C

Evaluate the integral. ∫cos⁡h2xdx

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