Integrate with respect to $x:$

$\left(\mathrm{x}\right)$ $e^x\sin x$

Important Questions on Indefinite Integration

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 40

 

$\left(\mathrm{xi}\right)$ $e^x\left({\sec }^{2}x+\tan x\right)$

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 41

Find the antiderivative of $f\left(x\right)=\ln \left(\ln x\right)+{\left(\ln x\right)}^{-2}$ whose graph passes through $\left(e,e\right)$.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 42

Integrate with respect to $x:$$\int \left(\frac{1}{x^2+4}\right)dx$.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 43

Integrate with respect to $x:$$\int \left(\frac{1}{x^2+5}\right)dx$.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 44

Integrate with respect to $x:$$\int \left(\frac{1}{x^2+2x+5}\right)dx$.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 45

Integrate with respect to $x:$$\int \left(\frac{2x+1}{x^2+3x+4}\right)dx$.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 46

Integrate with respect to $x:$$\int \left(\frac{x^3-1}{x^3+x}\right)dx$.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 47

Integrate with respect to $x:$$\int \left(\frac{1}{\sqrt{x^2-4}}\right)dx$.