$\int \frac{\left(x+3\right)e^x}{{\left(x+4\right)}^2} dx$ is equal to

Important Questions on Integration

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 133

$\int {\left(\frac{x+2}{x+4}\right)}^2{e}^{x}dx$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 134

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

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 135

$\int \frac{e^x\left(1+\sin x\right)}{1+\cos x}dx$ is equal to
 

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 136

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

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 137

$\int e^{\tan x}\left({\sec }^{2}x+{\sec }^{3}x·\sin x\right)dx=$

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 138

$\int e^{\sin x}\left(\frac{\sin x+1}{\sec x}\right)dx$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 139

$\int e^{{\tan }^{-1}x}\left(\frac{1+x+x^2}{1+x^2}\right)dx$ is equal to
 

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Integration>Competitive Thinking>Q 140

$\int \frac{e^{{\cot }^{-1}x}}{1+x^2}\left(x^2-x+1\right)dx=$ $$_________ $+c$