- #1
intenzxboi
- 98
- 0
Homework Statement
int sinh(2x) cosh(2x) dx
u= sinh (2x)
du= 2 cosh (2x)
1/2 int u du
1/2 (u^2)/2
(sinh (2x))^2 / 4
Efficient Integration of sinh(2x) cosh(2x) with Step-by-Step Homework Solution
- Thread starter intenzxboi
- Start date
-
- Tags
- Check my work Integration Work
Click For Summary
The integral of sinh(2x) cosh(2x) can be solved by using the substitution u = sinh(2x), leading to du = 2 cosh(2x) dx. The integral simplifies to 1/2 ∫ u du, resulting in (sinh(2x))^2 / 4. A noted typo in the differentiation process was the omission of "dx" in the expression for du. Additionally, the integration constant was not included in the final answer, which is essential for completeness. Verifying the solution by differentiating is recommended to ensure accuracy.
int sinh(2x) cosh(2x) dx
u= sinh (2x)
du= 2 cosh (2x)
1/2 int u du
1/2 (u^2)/2
(sinh (2x))^2 / 4
- #2
CompuChip
Science Advisor
Homework Helper
- 4,305
- 49
Looks just fine, except for one little typo where you wrote
du= 2 cosh (2x)
instead of
du= 2 cosh (2x) dx
And you forgot the integration constant
du= 2 cosh (2x)
instead of
du= 2 cosh (2x) dx
And you forgot the integration constant
- #3
NoMoreExams
- 619
- 0
Why don't you differentiate your answer and see if you got what you started with...
Similar threads
- · Replies 13 ·
- · Replies 14 ·
- · Replies 15 ·
- · Replies 3 ·
- · Replies 105 ·
- · Replies 21 ·
- · Replies 6 ·