Embibe Experts Solutions for Chapter: Definite Integration, Exercise 1: Exercise 1

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Definite Integration, Exercise 1: Exercise 1

Attempt the practice questions on Chapter 29: Definite Integration, Exercise 1: Exercise 1 with hints and solutions to strengthen your understanding. Mathematics Crash Course KCET (UG) solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Definite Integration, Exercise 1: Exercise 1 with Hints & Solutions

MEDIUM
KCET (UG)
IMPORTANT

The tangent to the graph of the function y=fx at the point with abscissa x=1 form an angle of π6 and at the point x=2, an angle of π3 and at the point x=3, an angle of π4 with positive x-axis. The value of 13f'xf"xdx+23f"xdx (f"x is supposed to be continuous) is

MEDIUM
KCET (UG)
IMPORTANT

The value of 1/etanxt1+t2dt+1/ecotx1t1+t2dt, where xπ6, π3, is equal to 

HARD
KCET (UG)
IMPORTANT

If fx=xx, then for any real numbers a and b with a<b,  the value of abfxdx equals to

HARD
KCET (UG)
IMPORTANT

If I=-π6π6π+4x51-sinx+π6dx, then I equals

MEDIUM
KCET (UG)
IMPORTANT

If i=14sin-1xi+cos-1yi=6π, then i=14xii=14yixln1+x2ex1+e2x dx is equal to

HARD
KCET (UG)
IMPORTANT

limn r=1nr3r4+n4 equals to

HARD
KCET (UG)
IMPORTANT

Ltn r=2n+13nnr2-n2 is equal to

HARD
KCET (UG)
IMPORTANT

limnsinπ2n. sin2π2n. sin3π2nsinn-1πn1n is equal to