Wednesday

April 16, 2014

April 16, 2014

Posted by **Amy** on Wednesday, March 23, 2011 at 11:40am.

Evaluate the integrals:

1.) ∫ (2-2cos^2x) dx

2.) ∫ cot3x dx

3.) ∫ ((e^(sqrt x) / (sqrt x) dx))

- Calculus - evaluating integrals -
**Reiny**, Wednesday, March 23, 2011 at 12:21pm1.) ∫ (2-2cos^2x) dx

= ∫ (2-2cos^2x) dx

= ∫ (1-(2cos^2x-1)) dx

= ∫ (1-cos 2x) dx

= x - (1/2)sin 2x + c

2.

∫ cot3x dx

= ∫ cos3x/sin 3x dx

= (1/3) ln(sin 3x) + c

3.

∫ (e^√x / √x dx

= ∫ e^(x^(1/2)) (e^(-1/2)) dx

= 2 e^(x^(1/2)) + c or 2 e^√x + c

**Related Questions**

Help Evaluating Integrals - 1.) ∫ (2)/(x-4) dx 2.) ∫ sec^2x tanx dx ...

Math - Evaluate the following indefinite integrals. Show all steps please A) &#...

Math - Evaluate the following indefinite integrals. Can you show all the steps ...

Math - Evaluate the following indefinite integrals. ∫4e^6x dx ∫...

Integration? - Sorry, i have a load of questions on integration... thanks for ...

Calculus AP - I'm doing trigonometric integrals i wanted to know im doing step ...

calculus - Evaluate the following integrals by using appropriate method : ∫...

Integrals - Evaluate the integral of ∫(2x^2 −3)^2 dx

Calc or Pre calc - I am having trouble doing this problem. I know how to do ...

calculus II - ∫ tan^2 x sec^3 x dx If the power of the secant n is odd, ...