#### Integral Calculus Two Marks Questions

11th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
15 x 2 = 30
1. Integrate the following with respect to x.${1\over x^{10}}$

2. Integrate the following with respect to x.$\sqrt{x}$

3. Integrate the following with respect to x.${cot \ x \over sin \ x}$

4. Integrate the following with respect to x:${1\over x^3}$

5. Evaluate the following with respect to x:$\int{\sqrt{(15-2x)}}dx$

6. Evaluate the following with respect to x:$\int{1\over {(3x-7)^4}}dx$

7. Integrate the following with respect to x:${1\over \sqrt{1-(9x)^2}}$

8. Integrate the following with respect to x:$(1-x^3)^2$

9. Integrate the following with respect to x :${5x-2\over 2+2x+x^2}$

10. Evaluate $\int { \frac { cos2x+2{ sin }^{ 2 }xdx }{ cos^{ 2 }x } }$

11. Evaluate $\int { { 2 }^{ x } }$ ex dx

12. $\int { \left( \frac { { x }^{ 4 }+1 }{ { x }^{ 2 }+1 } \right) }$dx

13. Evaluate $\int { \frac { \sqrt { 2+logx } }{ x } }$ dx

14. Evaluate $\int { { x }^{ 2 } }$ log xdx

15. Evaluate = $\int { \frac { cosxdx }{ \left( 1+sinx \right) \left( 2+sinx \right) } }$dx