$\int \frac{dx}{e^x+e^{-x}+2}$ is equal to

Important Questions on Integration

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 62

$\int \frac{\left(x+1\right){\left(x+\log x\right)}^2}{x}dx=$

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 63

The value of $\int e^x\left(1-\cot x+{\cot }^{2}x\right)dx$ is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 64

$\int \frac{1}{3+2{\cos }^{2}x}dx=$

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 65

If $\int x^2{e}^{3x}dx=\frac{e^{3x}}{27}f\left(x\right)+c$, where $c$ is an integration constant, then $f\left(x\right)=$

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 66

$\int {\left(27e^{9x}+e^{12x}\right)}^{\frac{1}{3}}dx$ is equal to

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 67

If $\int e^x\left(1+x\right)·{\sec }^2\left(x{e}^x\right)dx=f\left(x\right)+C,$ then $f\left(x\right)$ is equal to

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 68

$\int \frac{dx}{x\sqrt{1-(\log x{)}^2}}$ is equal to

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 18 - Integration>Exercise 1>Q 69

$\int 5^{{\log }_{e}x}dx$ is