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Let f: R to R be a continuous function w...

Let `f: R to R` be a continuous function which satisfies `f(x)=` `int_0^xf(t)dtdot` Then the value of `f(1n5)` is______

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  7. If inta^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is

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  8. L e tI1=int(pi/6)^(pi/3)(sinx)/x dx ,I2=int(pi/6)^(pi/3)sin(sinx)/(sin...

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  9. The value of int0^1e^(x^2-x)dx is (a)<1 (b) >1 (c) > e^(-1/4) ...

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  10. Evaluate: int0^(1)x(dx)/(sqrt(1-x^(2)))

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  11. The value of the definite integral int(0)^(1)(1+e^(-x^(2))) dx is

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  16. If f(x)=int0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f...

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  17. Evaluate: int(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a ...

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  18. Evaluate: int(0)^1(dx)/(1+x^2)

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  19. If f(t) is an odd function, then prove that varphi(x)=inta^xf(t)dt is ...

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