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#5: Post edited by (deleted user) · 2021-07-31T09:31:10Z (over 2 years ago)
  • >Is my answer correct?
  • Your answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. You had differentiate inside integration.
  • $$\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$
  • $$\int_0^{\dfrac{\pi}{6}} (1-\tan^2 \theta) \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\theta$$
  • That's the correct one. But, you got it wrong. You have differentiate.
  • >my answer always doesn't match with their. So, is it OK to find new/another answer of Integral?
  • Saying to Indefinite Integral, if you integrate an equation than, you may find lots of answer. But, if you put specific value instead of $\theta$ or, $x$. Than, you will get same value if your answer isn't wrong.
  • >Is my answer correct?
  • My answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. I had differentiate inside integration.
  • $$\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$
  • $$\int_0^{\dfrac{\pi}{6}} (1-\tan^2 \theta) \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\theta$$
  • That's the correct one. But, you got it wrong. I have differentiate.
  • >my answer always doesn't match with their. So, is it OK to find new/another answer of Integral?
  • Saying to Indefinite Integral, if you integrate an equation then, I may find lots of answer. But, if I (you) put specific value instead of $\theta$ or, $x$. Than, you will get same value if your answer isn't wrong.
#4: Post undeleted by (deleted user) · 2021-07-28T10:15:40Z (over 2 years ago)
#3: Post edited by (deleted user) · 2021-07-28T10:15:31Z (over 2 years ago)
  • ~~Ok! I am deleting my account after answering the question.~~
  • >Is my answer correct?
  • Your answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. You had differentiate inside integration.
  • $$\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$
  • $$\int_0^{\dfrac{\pi}{6}} (1-\tan^2 \theta) \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\theta$$
  • That's the correct one. But, you got it wrong. You have differentiate.
  • >my answer always doesn't match with their. So, is it OK to find new/another answer of Integral?
  • Saying to Indefinite Integral, if you integrate an equation than, you may find lots of answer. But, if you put specific value instead of $\theta$ or, $x$. Than, you will get same value if your answer isn't wrong.
  • >Is my answer correct?
  • Your answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. You had differentiate inside integration.
  • $$\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$
  • $$\int_0^{\dfrac{\pi}{6}} (1-\tan^2 \theta) \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\theta$$
  • That's the correct one. But, you got it wrong. You have differentiate.
  • >my answer always doesn't match with their. So, is it OK to find new/another answer of Integral?
  • Saying to Indefinite Integral, if you integrate an equation than, you may find lots of answer. But, if you put specific value instead of $\theta$ or, $x$. Than, you will get same value if your answer isn't wrong.
#2: Post deleted by (deleted user) · 2021-07-28T10:05:57Z (over 2 years ago)
#1: Initial revision by (deleted user) · 2021-07-28T10:04:18Z (over 2 years ago)
~~Ok! I am deleting my account after answering the question.~~

>Is my answer correct?

Your answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. You had differentiate inside integration. 

$$\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$
$$\int_0^{\dfrac{\pi}{6}} (1-\tan^2 \theta)  \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\theta$$

That's the correct one. But, you got it wrong. You have differentiate. 

>my answer always doesn't match with their. So, is it OK to find new/another answer of Integral?

Saying to Indefinite Integral, if you integrate an equation than, you may find lots of answer. But, if you put specific value instead of $\theta$ or, $x$. Than, you will get same value if your answer isn't wrong.