Mathematics

# If $\int_0^{2\pi} e^x. \sin\left(\frac{\pi}{4} + \frac{x}{2}\right) dx=-\dfrac{\sqrt{2}}{5}(e^{m\pi}-1)$.find the value of $m$

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One Word Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Subjective Medium
Evaluate the given integral.
$\displaystyle\int { \cfrac { 1 }{ { x }^{ 2 }+16 } } dx\quad$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$\displaystyle \int \cfrac{x+2}{\sqrt{4 x-x^{2}}} \ dx$

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Q3 Single Correct Medium
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1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
The value of $\int \sqrt{\dfrac{e^x -1}{e^x +1}} dx$ is equal to
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Let $F: R\rightarrow R$ be a thrice differential function. Suppose that $F(1) = 0, F(3) = -4$ and $F'(x)<0$ for all $x\in\left(\dfrac{1}{2},3\right)$. Let $f(x) = xF(x)$ for all $x\in R$.