16-Definite Integrals

Definite Integrals

Latest updates Popular Newest Unanswered Unsolved

M
  • Sticky
How to prepare for Definite Integrals for JEE Mains
Answers
10
Views
3K
Moderator2
M
sai cahndra
anybody please solve and also tell me please this indefinte and definite intetgration chapter seem to be so difficult
Answers
3
Views
170
RJVLKHN
R
sai cahndra
Let $\int_{0}^{\dfrac{\pi}{2}} (\cos x)^{2021} \sin(2023x) dx = \dfrac{a}{b}$, where $a$ and $b$ are co-prime, find $(a+b)$
Answers
3
Views
278
Amodini
Amodini
sai cahndra
The value $ 9\int_{0}^{9} \left[\sqrt{\dfrac{10x}{x+1}}\right]dx $, where[t] denotes the greatest integer less than or equal to t, is ________
Answers
3
Views
191
Abhineet
A
sai cahndra
The value $ 9\int_{0}^{9} \left[\sqrt{\dfrac{10x}{x+1}}\right]dx $, where[t] denotes the greatest integer less than or equal to t, is ________
Answers
4
Views
256
Abhineet
A
sai cahndra
Let $[t]$ denote the largest integer less than or equal to $t$. If $\int_{0}^{3} ([x^2] + [\dfrac{x^2}{2}]) dx = a + b\sqrt{2}-\sqrt{3}$.... ?
Answers
4
Views
234
Abhineet
A
kumarmayur1376
The integral $\int_{-\pi/2}^{\pi/2} \dfrac{(1 + \sqrt{|x|}) \sin^2(x) + \sin(x)}{1 + \sqrt{|x|}} dx$
Answers
2
Views
255
kumarmayur1376
kumarmayur1376
deveshgarg2008
Integration of a fractional part function
Answers
0
Views
164
deveshgarg2008
deveshgarg2008
K
Integration: $\int \frac{3 e^x+5 e^{-x}}{4 e^x-5 e^{-x}} d x$
Answers
1
Views
234
rahulp
R
K
$f(x)=\cos ^{-1}\left(\frac{1+x^2}{2 x}\right)+\sqrt{2-x^2}$ find Range ?
Answers
3
Views
212
Amodini
Amodini
A
If \(\vec{F}=\left(2x+y\right)\hat{i}+\left(3y-x\right)\hat{j}\). Evaluate \(\int_{c}\vec{F}\cdot dr\), where C is the curve \(y=x^3\) in the \( x y\)
Answers
2
Views
1K
Rishav05
Rishav05
Shashank Sangle
If the integral $\int_0^{10} \frac{[\sin 2 \pi x]}{e^{x-[x]}} d x=\alpha e^{-1}+\beta e^{-\frac{1}{2}}+\gamma$ where $\alpha$,
Answers
4
Views
404
Shashank Sangle
Shashank Sangle
Shashank Sangle
If $I=\int_1 \frac{d x}{\sqrt{2 x^3-9 x^2+12 x+4}}$, then
Answers
2
Views
233
Shashank Sangle
Shashank Sangle
Shashank Sangle
The value of the integral $\int_{-\pi / 2}^{\pi / 2} \frac{d x}{\left(1+e^x\right)\left(\sin ^6 x+\cos ^6 x\right)}$ is equal to
Answers
2
Views
227
Shashank Sangle
Shashank Sangle
Shashank Sangle
Let $f: R \rightarrow R$ be defined as $f(x)=e^{-x} \sin x$. If $F:[0,1] \rightarrow R$ is a differentiable function such that $F(x)=\int_0^x f(t) dt$
Answers
2
Views
278
Shashank Sangle
Shashank Sangle
Shashank Sangle
Integration of Greatest Integer Function
Answers
2
Views
366
Shashank Sangle
Shashank Sangle
Shashank Sangle
Expressing Integral function as a sum of Integral functions with different limits.
Answers
1
Views
201
solution.livedoubt
S
Shashank Sangle
Integral of Logarithmic function
Answers
2
Views
324
Shashank Sangle
Shashank Sangle
S Anirudh
  • Solved
The value of $2^{2010} \frac{\int_0^1 x^{1004}(1-x)^{1004} d x}{\int_0^1 x^{1004}\left(1-x^{2010}\right)^{1004} d x}$
Answers
1
Views
231
solution.livedoubt
S
E
Let for $f(x)=7 \tan ^8 x+7 \tan ^6 x-3 \tan ^4 x-3 \tan ^2 x, \quad \mathrm{I}_1=\int_0^{\pi / 4} f(x) \mathrm{d} x$
Answers
1
Views
159
solution.livedoubt
S
jhahnavi
How to break integrals in this question with respect to the gif given
Answers
1
Views
172
solution.livedoubt
S
You must log in or register to post here.
Back
Top