1800-150-456-789
FlagBACK
Flag Integral Calculus> 0 ∫ 1 (1+e -x^2 )dx=?
question mark

0∫1(1+e-x^2)dx=?

UTKARSH CHOUHAN , 9 Years ago
Grade 12
anser 1 Answers
jagdish singh singh

Last Activity: 9 Years ago

\hspace{-0.8 cm}$ Given $\bf{\int_{0}^{1}(1+e^{-x^2})dx = 1+\int_{0}^{1}e^{-x^2}dx\;,}$ Here we can not find\\\\ antiderivative of that Integrant in terms of elementry function.\\\\ So Here we can only find Range of $\bf{I.\;\; }$\\\\So $\bf{e^{-x}<e^{-x^2}<1\Rightarrow \int_{0}^{1}e^{-x}dx <\int_{0}^{1}e^{-x^2}dx<\int_{0}^{1}1dx}$\\\\ So we get $\bf{\left(1-\frac{1}{e}\right)<\int_{0}^{1}e^{-x^2}dx<1\Rightarrow \left(2-\frac{1}{e}\right)<1+\int_{0}^{1}e^{-x^2}dx<2}$

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Integral Calculus

question mark
The area of a square field is 640000cm2.what is its area in hectares
Integral Calculus
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
how to solve this?this is interger type question .
Integral Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Integrate 0 to π/2 (x sin x cos x )/(a²cos²x + b²sin²x)²
Integral Calculus
1 Answer Available

Last Activity: 2 Year ago(s)