Mathematics

# The value of $\displaystyle \overset{\pi/2}{\underset{0}{\int}} (\sqrt{1 + 8 \sin^3 x} + (- \cos \,2x + 4 \sin x + 2)^{1/3})\cos \,x \,dx$ is equal to

$4$

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

#### Realted Questions

Q1 Single Correct Hard
The value of $\displaystyle \int_{0}^{2\pi}\cos^{99}x dx$ is?
• A. $1$
• B. $-1$
• C. $99$
• D. $0$

1 Verified Answer | Published on 17th 09, 2020

Q2 One Word Medium
Solve $\displaystyle \int_{0}^{\pi /2}\frac{\cos x-\sin x}{1+\sin x\cos x}dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
Integrate $\displaystyle \frac {1}{2}\, f\, '(x)\, w.r.t.\, x^4$, where $f(x)\, =\, tan^{-1}\, x\, +\, ln\, \sqrt{1\, +\, x}\, -\, ln\, \sqrt{1\, -\, x}$
• A. $\, -\, ln(1+x^2)\, +\, C$
• B. $\, -\, ln(1-x^2)\, +\, C$
• C. $\, -\, ln(1+x^4)\, +\, C$
• D. $\, -\, ln(1-x^4)\, +\, C$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Evaluate:
$\int { \cfrac { \sec ^{ 2 }{ x } }{ cosec ^{ 2 }{ x } } } dx$

$\int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx}$