Mathematics

# $\displaystyle\int^e_1\dfrac{e^x}{x}(1+xlog x)dx=?$

$e^xlogx$

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

#### Realted Questions

Q1 Subjective Medium
Solve $\displaystyle\int\dfrac{{{{\sin }^4}x}}{{{{\cos }^2}x}}dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
$\displaystyle \int_{a + c}^{b + c} f(x) dx$ is equal to
• A. $\displaystyle \int_{a}^{b} f(x - c) dx$
• B. $\displaystyle \int_{a}^{b} f(x) dx$
• C. $\displaystyle \int_{a + x}^{b + x } f(x) dx$
• D. $\displaystyle \int_{a}^{b} f(x + c) dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate the following integral:
$\displaystyle\int^2_0x\sqrt{2-x}dx$.

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Solve:
$\int\limits_0^{\frac{\pi }{2}} {\frac{{x\sin 2xdx}}{{{{\cos }^4}x + {{\sin }^4}x}}}$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\int\dfrac{x-1}{(x+1)\sqrt{x^{3}+x^{2}+x^{}}}dx$ is equal to
• A. $2\tan^{-1} \sqrt{\dfrac{x^{2}+x+1}{x}}+c$
• B. $3\tan^{-1} \sqrt{\dfrac{x^{2}+x+1}{x}}+c$
• C. $4\tan^{-1} \sqrt{\dfrac{x^{2}+x+1}{x}}+c$
• D. $\tan^{-1} \sqrt{\dfrac{x^{2}+x+1}{x}}+c$