Mathematics

Evaluate: $$\int _{ -1 }^{ 1 }{ { e }^{ x } } dx$$


SOLUTION
$$I=\displaystyle\int_{-1}^{1}{{e}^{x}dx}$$

$$=\left[{e}^{x}\right]_{-1}^{1}$$

$$={e}^{1}-{e}^{-1}$$

$$=e-\dfrac{1}{e}$$
View Full Answer

Its FREE, you're just one step away


Subjective Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 111
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
Solve $$\int_{0}^{\frac {\pi}{2}} \dfrac {\cos^{2}x\ dx}{\cos^{2}x+4\sin^{2}x}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
$$\displaystyle \int_{0}^{1}\frac{x^{2}}{1+x^{6}}dx$$
  • A. $$\displaystyle \frac{\pi }{8}$$
  • B. $$\displaystyle \pi $$
  • C. $$\displaystyle \frac{\pi }{4}$$
  • D. $$\displaystyle \frac{\pi }{12}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Evaluate :
$$\int {\dfrac{1}{{\left( {x + 2} \right)\left( {x + 2} \right)}}} dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Solve:
$$\displaystyle \int_{4}^{5}{e^x dx}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Easy
Evaluate:
$$ \int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer