11th Maths Weekly Test - 2( Integral Calculus )

St. Britto Hr. Sec. School - Madurai

11th Maths Weekly Test - 2( Integral Calculus )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

Integrate the following with respect to x.\(\int cot \ x \ dx\)

Integrate the following functions with respect to x :\(\sqrt{x^2+2x+10}\)

Integrate the function with respect to x
\(4-\cfrac { 5 }{ x+2 } +3cos2x\)

Evaluate \(\int { { 2 }^{ x } } \) e^x dx

Integrate the following with respect to x: x¹¹

Integrate the following with respect to x:9xe^3x

Integrate the function with respect to x
x(l-x)¹⁶

Integrate the function with respect to x
\(\cfrac { 1 }{ { x }^{ 5 } } \)

Integrate the function with respect to x
\((x+1)\sqrt { x+3 } \)

Solve \(\cfrac { 1 }{ { sin }^{ 2 }(1-mx) } \)

Part - B

Generic 5 - Answer All Question

Integrate the following with respect to x\({1\over xlog \ xlog(log \ x)}\)

Integrate the following with respect to x \(e^{-4x}sin 2x\)

Integrate the following with respect to x :\(\alpha \beta x^{\alpha-1}e^{-\beta x^{\alpha}}\)

A tree is growing so that, after t - years its height is increasing at a rate of \({18\over \sqrt{t}}\) cm per year Assume that when t = 0, the height is 5 cm. Find the height of the tree after 4 years

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11th Maths Weekly Test - 2( Integral Calculus )

St. Britto Hr. Sec. School - Madurai

11th Maths Weekly Test - 2( Integral Calculus )-Aug 2020

Part - A

Generic 2 - Answer All Question

Integrate the following with respect to x.\(\int cot \ x \ dx\)

Integrate the following functions with respect to x :\(\sqrt{x^2+2x+10}\)

Integrate the function with respect to x \(4-\cfrac { 5 }{ x+2 } +3cos2x\)

Evaluate \(\int { { 2 }^{ x } } \) ex dx

Integrate the following with respect to x: x11

Integrate the following with respect to x:9xe3x

Integrate the function with respect to x x(l-x)16

Integrate the function with respect to x \(\cfrac { 1 }{ { x }^{ 5 } } \)

Integrate the function with respect to x \((x+1)\sqrt { x+3 } \)

Solve \(\cfrac { 1 }{ { sin }^{ 2 }(1-mx) } \)

Part - B

Generic 5 - Answer All Question

Integrate the following with respect to x\({1\over xlog \ xlog(log \ x)}\)

Integrate the following with respect to x \(e^{-4x}sin 2x\)

Integrate the following with respect to x :\(\alpha \beta x^{\alpha-1}e^{-\beta x^{\alpha}}\)

A tree is growing so that, after t - years its height is increasing at a rate of \({18\over \sqrt{t}}\) cm per year Assume that when t = 0, the height is 5 cm. Find the height of the tree after 4 years

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Tamilnadu Stateboardszs - Class

Integrate the function with respect to x
\(4-\cfrac { 5 }{ x+2 } +3cos2x\)

Evaluate \(\int { { 2 }^{ x } } \) e^x dx

Integrate the following with respect to x: x¹¹

Integrate the following with respect to x:9xe^3x

Integrate the function with respect to x
x(l-x)¹⁶

Integrate the function with respect to x
\(\cfrac { 1 }{ { x }^{ 5 } } \)

Integrate the function with respect to x
\((x+1)\sqrt { x+3 } \)