Mathematics

# Solve :$\displaystyle I=\int e^{x}\sec{x}(1+\tan{x})dx$

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

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

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
Calculate:
$\int (x^{3/2} - x^{1/2} + 5x) dx$.
• A. $\dfrac{2x^{5/2}}{3}-\dfrac{2x^{3/2}}{5}+\dfrac{5}{2}x^2+c$
• B. $\dfrac{2x^{5/2}}{5}-\dfrac{x^{3/2}}{4}+\dfrac{5}{2}x^2+c$
• C. $\dfrac{x^{5/2}}{5}-\dfrac{2x^{3/2}}{3}+\dfrac{5}{2}x^2+c$
• D. $\dfrac{2x^{5/2}}{5}-\dfrac{2x^{3/2}}{3}+\dfrac{5}{2}x^2+c$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\int (e^{a\ln{x}}+e^{x\ln{a}})dx$, where $x>0,\ a>0$
• A. $\dfrac{x^{a+1}}{a+1}+a^{x}\ln{a}+c$
• B. $\dfrac{x^{a+1}}{a+1}+\dfrac{a^{x}}{\ln{a}}+c$
• C. None of the above
• D. $x^{a+1}+\dfrac{a^{x}}{\ln{a}}+c$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate the following integrals:
$\displaystyle \int { \sin ^{ 4 }{ x } \cos ^{ 3 }{ x } } dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Hard
Solve the differential equation:
$\dfrac{dy}{dx}$=$\dfrac{x^{2}-y^{2}}{2xy}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020